965988 has 18 divisors (see below), whose sum is σ = 2441894. Its totient is φ = 321984.

The previous prime is 965983. The next prime is 965989. The reversal of 965988 is 889569.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 338724 = 792^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×965988² = 1866265632288, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965988.

It is not an unprimeable number, because it can be changed into a prime (965983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13381 + ... + 13452.

2⁹⁶⁵⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

965988 is an abundant number, since it is smaller than the sum of its proper divisors (1475906).

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

965988 is a wasteful number, since it uses less digits than its factorization.

965988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26843 (or 26838 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 965988 is about 982.8468853285. The cubic root of 965988 is about 98.8531646315.

It can be divided in two parts, 965 and 988, that added together give a triangular number (1953 = T₆₂).

The spelling of 965988 in words is "nine hundred sixty-five thousand, nine hundred eighty-eight".