82124637 has 48 divisors (see below), whose sum is σ = 137401920. Its totient is φ = 43341312.

The previous prime is 82124617. The next prime is 82124639. The reversal of 82124637 is 73642128.

It is not a de Polignac number, because 82124637 - 2⁷ = 82124509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82124598 and 82124607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82124639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147163 + ... + 147719.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2^82124637 is an apocalyptic number.

It is an amenable number.

82124637 is a deficient number, since it is larger than the sum of its proper divisors (55277283).

82124637 is a wasteful number, since it uses less digits than its factorization.

82124637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 82124637 is about 9062.2644521113. The cubic root of 82124637 is about 434.6681522458.

The spelling of 82124637 in words is "eighty-two million, one hundred twenty-four thousand, six hundred thirty-seven".