972933 has 24 divisors (see below), whose sum is σ = 1493280. Its totient is φ = 561600.

The previous prime is 972901. The next prime is 972941. The reversal of 972933 is 339279.

972933 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 972933 - 2⁵ = 972901 is a prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 972894 and 972903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9583 + ... + 9683.

It is an arithmetic number, because the mean of its divisors is an integer number (62220).

2⁹⁷²⁹³³ is an apocalyptic number.

It is an amenable number.

972933 is a deficient number, since it is larger than the sum of its proper divisors (520347).

972933 is a wasteful number, since it uses less digits than its factorization.

972933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 972933 is about 986.3736614488. The cubic root of 972933 is about 99.0895017565.

The spelling of 972933 in words is "nine hundred seventy-two thousand, nine hundred thirty-three".