82817517 has 16 divisors (see below), whose sum is σ = 112394240. Its totient is φ = 54233712.

The previous prime is 82817509. The next prime is 82817519. The reversal of 82817517 is 71571828.

It is not a de Polignac number, because 82817517 - 2³ = 82817509 is a prime.

It is a super-2 number, since 2×82817517² = 13717482244090578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82817519) 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, 52068 + ... + 53634.

It is an arithmetic number, because the mean of its divisors is an integer number (7024640).

Almost surely, 2^82817517 is an apocalyptic number.

It is an amenable number.

82817517 is a deficient number, since it is larger than the sum of its proper divisors (29576723).

82817517 is a wasteful number, since it uses less digits than its factorization.

82817517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872.

The product of its digits is 31360, while the sum is 39.

The square root of 82817517 is about 9100.4130126055. The cubic root of 82817517 is about 435.8871523591.

The spelling of 82817517 in words is "eighty-two million, eight hundred seventeen thousand, five hundred seventeen".