965925 has 42 divisors (see below), whose sum is σ = 1829682. Its totient is φ = 505440.

The previous prime is 965893. The next prime is 965927. The reversal of 965925 is 529569.

It can be written as a sum of positive squares in 3 ways, for example, as 123201 + 842724 = 351^2 + 918^2 .

It is not a de Polignac number, because 965925 - 2⁵ = 965893 is a prime.

It is a super-2 number, since 2×965925² = 1866022211250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (24300) is a multiple of the sum of its prime factors (81).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 965925.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965925.

It is not an unprimeable number, because it can be changed into a prime (965927) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18199 + ... + 18251.

2⁹⁶⁵⁹²⁵ is an apocalyptic number.

It is an amenable number.

965925 is a deficient number, since it is larger than the sum of its proper divisors (863757).

965925 is an equidigital number, since it uses as much as digits as its factorization.

965925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 965925 is about 982.8148350529. The cubic root of 965925 is about 98.8510155762.

The spelling of 965925 in words is "nine hundred sixty-five thousand, nine hundred twenty-five".