961972 has 12 divisors (see below), whose sum is σ = 1836576. Its totient is φ = 437240.

The previous prime is 961957. The next prime is 961973. The reversal of 961972 is 279169.

961972 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10888 + ... + 10975.

It is an arithmetic number, because the mean of its divisors is an integer number (153048).

2⁹⁶¹⁹⁷² is an apocalyptic number.

It is an amenable number.

961972 is a deficient number, since it is larger than the sum of its proper divisors (874604).

961972 is a wasteful number, since it uses less digits than its factorization.

961972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21878 (or 21876 counting only the distinct ones).

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

The square root of 961972 is about 980.8017128859. The cubic root of 961972 is about 98.7159835836.

The spelling of 961972 in words is "nine hundred sixty-one thousand, nine hundred seventy-two".