2505965 has 32 divisors (see below), whose sum is σ = 3926016. Its totient is φ = 1488960.

The previous prime is 2505917. The next prime is 2505983. The reversal of 2505965 is 5695052.

It is not a de Polignac number, because 2505965 - 2⁶ = 2505901 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8714 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (122688).

2^2505965 is an apocalyptic number.

It is an amenable number.

2505965 is a deficient number, since it is larger than the sum of its proper divisors (1420051).

2505965 is a wasteful number, since it uses less digits than its factorization.

2505965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 2505965 is about 1583.0240048717. The cubic root of 2505965 is about 135.8287384330.

The spelling of 2505965 in words is "two million, five hundred five thousand, nine hundred sixty-five".