82237 has 2 divisors, whose sum is σ = 82238. Its totient is φ = 82236.

The previous prime is 82231. The next prime is 82241. The reversal of 82237 is 73228.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 441 = 286^2 + 21^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82237 is a prime.

82237 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41118 + 41119.

It is an arithmetic number, because the mean of its divisors is an integer number (41119).

2⁸²²³⁷ is an apocalyptic number.

It is an amenable number.

82237 is a deficient number, since it is larger than the sum of its proper divisors (1).

82237 is an equidigital number, since it uses as much as digits as its factorization.

82237 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 22.

The square root of 82237 is about 286.7699426370. The cubic root of 82237 is about 43.4866299686.

Subtracting from 82237 its sum of digits (22), we obtain a triangular number (82215 = T₄₀₅).

Subtracting from 82237 its reverse (73228), we obtain a palindrome (9009).

The spelling of 82237 in words is "eighty-two thousand, two hundred thirty-seven".