82624731 has 24 divisors (see below), whose sum is σ = 130890240. Its totient is φ = 46205712.

The previous prime is 82624723. The next prime is 82624747. The reversal of 82624731 is 13742628.

It is not a de Polignac number, because 82624731 - 2³ = 82624723 is a prime.

It is a super-2 number, since 2×82624731² = 13653692345644722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82624692 and 82624701.

It is not an unprimeable number, because it can be changed into a prime (82624781) 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, 930 + ... + 12888.

It is an arithmetic number, because the mean of its divisors is an integer number (5453760).

Almost surely, 2^82624731 is an apocalyptic number.

82624731 is a deficient number, since it is larger than the sum of its proper divisors (48265509).

82624731 is a wasteful number, since it uses less digits than its factorization.

82624731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12023 (or 12016 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 82624731 is about 9089.8146845797. The cubic root of 82624731 is about 435.5486642664.

The spelling of 82624731 in words is "eighty-two million, six hundred twenty-four thousand, seven hundred thirty-one".