82137 has 16 divisors (see below), whose sum is σ = 126720. Its totient is φ = 46800.

The previous prime is 82129. The next prime is 82139. The reversal of 82137 is 73128.

It is not a de Polignac number, because 82137 - 2³ = 82129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁸²¹³⁷ is an apocalyptic number.

It is an amenable number.

82137 is a deficient number, since it is larger than the sum of its proper divisors (44583).

82137 is a wasteful number, since it uses less digits than its factorization.

82137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its digits is 336, while the sum is 21.

The square root of 82137 is about 286.5955338103. The cubic root of 82137 is about 43.4689962724.

Subtracting from 82137 its reverse (73128), we obtain a palindrome (9009).

It can be divided in two parts, 821 and 37, that added together give a palindrome (858).

The spelling of 82137 in words is "eighty-two thousand, one hundred thirty-seven".