8972313 has 32 divisors (see below), whose sum is σ = 14592000. Its totient is φ = 4790016.

The previous prime is 8972309. The next prime is 8972371. The reversal of 8972313 is 3132798.

It is not a de Polignac number, because 8972313 - 2² = 8972309 is a prime.

8972313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8972303) 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, 44988 + ... + 45186.

It is an arithmetic number, because the mean of its divisors is an integer number (456000).

Almost surely, 2^8972313 is an apocalyptic number.

It is an amenable number.

8972313 is a deficient number, since it is larger than the sum of its proper divisors (5619687).

8972313 is a wasteful number, since it uses less digits than its factorization.

8972313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 9072, while the sum is 33.

The square root of 8972313 is about 2995.3819455956. The cubic root of 8972313 is about 207.7948621622.

The spelling of 8972313 in words is "eight million, nine hundred seventy-two thousand, three hundred thirteen".