37882 has 16 divisors (see below), whose sum is σ = 64512. Its totient is φ = 16560.

The previous prime is 37879. The next prime is 37889. The reversal of 37882 is 28873.

It is a happy number.

It is a cake number, because a cake can be divided into 37882 parts by 61 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 37882.

It is not an unprimeable number, because it can be changed into a prime (37889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2³⁷⁸⁸² is an apocalyptic number.

37882 is a deficient number, since it is larger than the sum of its proper divisors (26630).

37882 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (37881) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (93).

37882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its digits is 2688, while the sum is 28.

The square root of 37882 is about 194.6329879543. The cubic root of 37882 is about 33.5849185907.

Multiplying 37882 by its sum of digits (28), we get a triangular number (1060696 = T₁₄₅₆).

Subtracting from 37882 its reverse (28873), we obtain a palindrome (9009).

It can be divided in two parts, 37 and 882, that added together give a palindrome (919).

The spelling of 37882 in words is "thirty-seven thousand, eight hundred eighty-two".