82116625 has 16 divisors (see below), whose sum is σ = 102827088. Its totient is φ = 65472000.

The previous prime is 82116589. The next prime is 82116641. The reversal of 82116625 is 52661128.

It can be written as a sum of positive squares in 8 ways, for example, as 60279696 + 21836929 = 7764^2 + 4673^2 .

It is not a de Polignac number, because 82116625 - 2⁷ = 82116497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43195 + ... + 45055.

It is an arithmetic number, because the mean of its divisors is an integer number (6426693).

Almost surely, 2^82116625 is an apocalyptic number.

It is an amenable number.

82116625 is a deficient number, since it is larger than the sum of its proper divisors (20710463).

82116625 is a wasteful number, since it uses less digits than its factorization.

82116625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2219 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 82116625 is about 9061.8223884603. The cubic root of 82116625 is about 434.6540165182.

The spelling of 82116625 in words is "eighty-two million, one hundred sixteen thousand, six hundred twenty-five".