82124864 has 28 divisors (see below), whose sum is σ = 163633404. Its totient is φ = 40894464.

The previous prime is 82124863. The next prime is 82124929. The reversal of 82124864 is 46842128.

It can be written as a sum of positive squares in 2 ways, for example, as 60964864 + 21160000 = 7808^2 + 4600^2 .

It is not an unprimeable number, because it can be changed into a prime (82124863) 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, 13952 + ... + 18944.

Almost surely, 2^82124864 is an apocalyptic number.

It is an amenable number.

82124864 is a deficient number, since it is larger than the sum of its proper divisors (81508540).

82124864 is a wasteful number, since it uses less digits than its factorization.

82124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5252 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 82124864 is about 9062.2769765661. The cubic root of 82124864 is about 434.6685527329.

The spelling of 82124864 in words is "eighty-two million, one hundred twenty-four thousand, eight hundred sixty-four".