37939 has 4 divisors (see below), whose sum is σ = 41400. Its totient is φ = 34480.

The previous prime is 37907. The next prime is 37951. The reversal of 37939 is 93973.

37939 = 77² + 78² + ... + 82².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 93973 = 11 ⋅8543.

It is a cyclic number.

It is not a de Polignac number, because 37939 - 2⁵ = 37907 is a prime.

It is a Duffinian number.

37939 is a lucky number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 37939.

It is not an unprimeable number, because it can be changed into a prime (37039) 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 3 ways as a sum of consecutive naturals, for example, 1714 + ... + 1735.

It is an arithmetic number, because the mean of its divisors is an integer number (10350).

2³⁷⁹³⁹ is an apocalyptic number.

37939 is a deficient number, since it is larger than the sum of its proper divisors (3461).

37939 is a wasteful number, since it uses less digits than its factorization.

37939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460.

The product of its digits is 5103, while the sum is 31.

The square root of 37939 is about 194.7793623565. The cubic root of 37939 is about 33.6017549159.

It can be divided in two parts, 37 and 939, that multiplied together give a palindrome (34743).

The spelling of 37939 in words is "thirty-seven thousand, nine hundred thirty-nine".