82566725 has 12 divisors (see below), whose sum is σ = 102498276. Its totient is φ = 65978880.

The previous prime is 82566709. The next prime is 82566767. The reversal of 82566725 is 52766528.

It can be written as a sum of positive squares in 6 ways, for example, as 12292036 + 70274689 = 3506^2 + 8383^2 .

It is not a de Polignac number, because 82566725 - 2⁴ = 82566709 is a prime.

It is a Duffinian number.

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, 35189 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (8541523).

Almost surely, 2^82566725 is an apocalyptic number.

It is an amenable number.

82566725 is a deficient number, since it is larger than the sum of its proper divisors (19931551).

82566725 is a wasteful number, since it uses less digits than its factorization.

82566725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3731 counting only the distinct ones).

The product of its digits is 201600, while the sum is 41.

The square root of 82566725 is about 9086.6234102663. The cubic root of 82566725 is about 435.4467159755.

The spelling of 82566725 in words is "eighty-two million, five hundred sixty-six thousand, seven hundred twenty-five".