82582017 has 32 divisors (see below), whose sum is σ = 129153024. Its totient is φ = 45964800.

The previous prime is 82582013. The next prime is 82582021. The reversal of 82582017 is 71028528.

It is an interprime number because it is at equal distance from previous prime (82582013) and next prime (82582021).

It is not a de Polignac number, because 82582017 - 2² = 82582013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82582013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144342 + ... + 144912.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^82582017 is an apocalyptic number.

It is an amenable number.

82582017 is a deficient number, since it is larger than the sum of its proper divisors (46571007).

82582017 is a wasteful number, since it uses less digits than its factorization.

82582017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 82582017 is about 9087.4648279925. The cubic root of 82582017 is about 435.4735970228.

The spelling of 82582017 in words is "eighty-two million, five hundred eighty-two thousand, seventeen".