82800627 has 16 divisors (see below), whose sum is σ = 135878400. Its totient is φ = 43674912.

The previous prime is 82800623. The next prime is 82800629. The reversal of 82800627 is 72600828.

It is not a de Polignac number, because 82800627 - 2² = 82800623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82800623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151377 + ... + 151922.

It is an arithmetic number, because the mean of its divisors is an integer number (8492400).

Almost surely, 2^82800627 is an apocalyptic number.

82800627 is a deficient number, since it is larger than the sum of its proper divisors (53077773).

82800627 is a wasteful number, since it uses less digits than its factorization.

82800627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303322.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82800627 is about 9099.4849854264. The cubic root of 82800627 is about 435.8575183928.

The spelling of 82800627 in words is "eighty-two million, eight hundred thousand, six hundred twenty-seven".