82137817 has 16 divisors (see below), whose sum is σ = 91686400. Its totient is φ = 73249920.

The previous prime is 82137799. The next prime is 82137821. The reversal of 82137817 is 71873128.

It is a cyclic number.

It is not a de Polignac number, because 82137817 - 2⁷ = 82137689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (82137877) 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, 19909 + ... + 23677.

It is an arithmetic number, because the mean of its divisors is an integer number (5730400).

Almost surely, 2^82137817 is an apocalyptic number.

It is an amenable number.

82137817 is a deficient number, since it is larger than the sum of its proper divisors (9548583).

82137817 is a wasteful number, since it uses less digits than its factorization.

82137817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856.

The product of its digits is 18816, while the sum is 37.

The square root of 82137817 is about 9062.9916142519. The cubic root of 82137817 is about 434.6914039763.

The spelling of 82137817 in words is "eighty-two million, one hundred thirty-seven thousand, eight hundred seventeen".