82131664 has 40 divisors (see below), whose sum is σ = 162632448. Its totient is φ = 40172160.

The previous prime is 82131611. The next prime is 82131667. The reversal of 82131664 is 46613128.

It is a happy number.

It is a super-2 number, since 2×82131664² = 13491220462817792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82131667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223609 + ... + 223975.

Almost surely, 2^82131664 is an apocalyptic number.

It is an amenable number.

82131664 is a deficient number, since it is larger than the sum of its proper divisors (80500784).

82131664 is a wasteful number, since it uses less digits than its factorization.

82131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 82131664 is about 9062.6521504469. The cubic root of 82131664 is about 434.6805493619.

The spelling of 82131664 in words is "eighty-two million, one hundred thirty-one thousand, six hundred sixty-four".