965772 has 36 divisors (see below), whose sum is σ = 2471560. Its totient is φ = 317952.

The previous prime is 965759. The next prime is 965773. The reversal of 965772 is 277569.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965772.

It is not an unprimeable number, because it can be changed into a prime (965773) by changing a digit.

965772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4908 + ... + 5100.

2⁹⁶⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

965772 is an abundant number, since it is smaller than the sum of its proper divisors (1505788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

965772 is a wasteful number, since it uses less digits than its factorization.

965772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 965772 is about 982.7369943174. The cubic root of 965772 is about 98.8457960530.

The spelling of 965772 in words is "nine hundred sixty-five thousand, seven hundred seventy-two".