There are two possible interpretations of your question. Let me clarify the numerology terms and then decide which is most likely your meaning.

One interpretation:

The destiny number, as calculated on this website, is the total value of the letters of the name reduced to either a single digit or a master number. Your destiny number, calculated in that way, is the number 1.

Your month of birth is the number 1. Generally, the psychic number is assumed to be obtained from the day of birth, not the month of birth.

Another interpretation:

The reduced number obtained from adding the digits of your entire date of birth is the number 9. This website refers to that number as the life path. There are some numerologists that use "destiny" to mean the date of birth number.

The number 9, calculated from the date of birth, is the same as your day of birth, the position in the numerology chart generally referred to as the psychic number.

An assumption:

Of the two possible interpretations of your question, I'll assume the latter applies in this case. To be clear, I'll talk about the effect of having the same reduced number for both the date of birth (life path) and the day of birth (psychic).

They're both calculated from the birth date, so they both represent energies related to events and circumstances occurring during the living of life.

The effect:

Because both have the same number, they resonate with and strengthen each other. Your second life period cycle, which begins in a couple months, at the beginning of the new year, will also be the number 9.

With three life path-related numerology chart positions being the number 9, each tends to have more energy than it would by itself. Each resonates with the other two. Read about the number 9 to become familiar with the type of events and circumstances to expect as you continue living life.