972333813 has 32 divisors (see below), whose sum is σ = 1450576512. Its totient is φ = 574329600.

The previous prime is 972333757. The next prime is 972333821. The reversal of 972333813 is 318333279.

It is not a de Polignac number, because 972333813 - 2⁶ = 972333749 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972333833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272823 + ... + 276363.

It is an arithmetic number, because the mean of its divisors is an integer number (45330516).

Almost surely, 2^972333813 is an apocalyptic number.

It is an amenable number.

972333813 is a deficient number, since it is larger than the sum of its proper divisors (478242699).

972333813 is a wasteful number, since it uses less digits than its factorization.

972333813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765.

The product of its digits is 81648, while the sum is 39.

The square root of 972333813 is about 31182.2676051630. The cubic root of 972333813 is about 990.6915594509.

The spelling of 972333813 in words is "nine hundred seventy-two million, three hundred thirty-three thousand, eight hundred thirteen".