82185264 has 60 divisors (see below), whose sum is σ = 262865616. Its totient is φ = 23481216.

The previous prime is 82185263. The next prime is 82185277. The reversal of 82185264 is 46258128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82185263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39759 + ... + 41774.

Almost surely, 2^82185264 is an apocalyptic number.

82185264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82185264 is an abundant number, since it is smaller than the sum of its proper divisors (180680352).

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

82185264 is a wasteful number, since it uses less digits than its factorization.

82185264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81554 (or 81545 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 82185264 is about 9065.6088598615. The cubic root of 82185264 is about 434.7750878537.

The spelling of 82185264 in words is "eighty-two million, one hundred eighty-five thousand, two hundred sixty-four".