82137717 has 12 divisors (see below), whose sum is σ = 121168320. Its totient is φ = 53593128.

The previous prime is 82137701. The next prime is 82137721. The reversal of 82137717 is 71773128.

It is a happy number.

It is not a de Polignac number, because 82137717 - 2⁴ = 82137701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82137767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96667 + ... + 97512.

It is an arithmetic number, because the mean of its divisors is an integer number (10097360).

Almost surely, 2^82137717 is an apocalyptic number.

It is an amenable number.

82137717 is a deficient number, since it is larger than the sum of its proper divisors (39030603).

82137717 is a wasteful number, since it uses less digits than its factorization.

82137717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194232 (or 194229 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 82137717 is about 9062.9860973081. The cubic root of 82137717 is about 434.6912275689.

The spelling of 82137717 in words is "eighty-two million, one hundred thirty-seven thousand, seven hundred seventeen".