37982 has 8 divisors (see below), whose sum is σ = 65136. Its totient is φ = 16272.

The previous prime is 37967. The next prime is 37987. The reversal of 37982 is 28973.

37982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37982.

It is not an unprimeable number, because it can be changed into a prime (37987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1343 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (8142).

2³⁷⁹⁸² is an apocalyptic number.

37982 is a deficient number, since it is larger than the sum of its proper divisors (27154).

37982 is a wasteful number, since it uses less digits than its factorization.

37982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722.

The product of its digits is 3024, while the sum is 29.

The square root of 37982 is about 194.8897124017. The cubic root of 37982 is about 33.6144448474.

Subtracting from 37982 its reverse (28973), we obtain a palindrome (9009).

The spelling of 37982 in words is "thirty-seven thousand, nine hundred eighty-two".