972961 has 16 divisors (see below), whose sum is σ = 1159488. Its totient is φ = 813120.

The previous prime is 972943. The next prime is 972967. The reversal of 972961 is 169279.

972961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972961 - 2⁷ = 972833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22606 + ... + 22648.

It is an arithmetic number, because the mean of its divisors is an integer number (72468).

2⁹⁷²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

972961 is a deficient number, since it is larger than the sum of its proper divisors (186527).

972961 is a wasteful number, since it uses less digits than its factorization.

972961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The square root of 972961 is about 986.3878547509. The cubic root of 972961 is about 99.0904523116.

The spelling of 972961 in words is "nine hundred seventy-two thousand, nine hundred sixty-one".