965031561 has 12 divisors (see below), whose sum is σ = 1501160388. Its totient is φ = 593865504.

The previous prime is 965031559. The next prime is 965031593. The reversal of 965031561 is 165130569.

965031561 is a `hidden beast` number, since 9 + 65 + 0 + 31 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394777161 + 570254400 = 19869^2 + 23880^2 .

It is not a de Polignac number, because 965031561 - 2¹ = 965031559 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (965031961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4123950 + ... + 4124183.

It is an arithmetic number, because the mean of its divisors is an integer number (125096699).

Almost surely, 2^965031561 is an apocalyptic number.

It is an amenable number.

965031561 is a deficient number, since it is larger than the sum of its proper divisors (536128827).

965031561 is a wasteful number, since it uses less digits than its factorization.

965031561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248152 (or 8248149 counting only the distinct ones).

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

The square root of 965031561 is about 31064.9571221336. The cubic root of 965031561 is about 988.2052853139.

The spelling of 965031561 in words is "nine hundred sixty-five million, thirty-one thousand, five hundred sixty-one".