82616625 has 128 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 34732800.

The previous prime is 82616603. The next prime is 82616627. The reversal of 82616625 is 52661628.

82616625 is a `hidden beast` number, since 8 + 26 + 1 + 6 + 625 = 666.

It is not a de Polignac number, because 82616625 - 2¹² = 82612529 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82616625.

It is not an unprimeable number, because it can be changed into a prime (82616627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306991 + ... + 307259.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^82616625 is an apocalyptic number.

It is an amenable number.

82616625 is an abundant number, since it is smaller than the sum of its proper divisors (106080975).

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

82616625 is a wasteful number, since it uses less digits than its factorization.

82616625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82616625 is about 9089.3687899656. The cubic root of 82616625 is about 435.5344204563.

The spelling of 82616625 in words is "eighty-two million, six hundred sixteen thousand, six hundred twenty-five".