82623312 has 60 divisors (see below), whose sum is σ = 231934560. Its totient is φ = 27457344.

The previous prime is 82623287. The next prime is 82623329. The reversal of 82623312 is 21332628.

82623312 is a `hidden beast` number, since 8 + 2 + 623 + 31 + 2 = 666.

It is a super-2 number, since 2×82623312² = 13653223371698688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62563 + ... + 63869.

It is an arithmetic number, because the mean of its divisors is an integer number (3865576).

Almost surely, 2^82623312 is an apocalyptic number.

It is an amenable number.

82623312 is an abundant number, since it is smaller than the sum of its proper divisors (149311248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82623312 is a wasteful number, since it uses less digits than its factorization.

82623312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1751 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 82623312 is about 9089.7366298480. The cubic root of 82623312 is about 435.5461708762.

The spelling of 82623312 in words is "eighty-two million, six hundred twenty-three thousand, three hundred twelve".