37879 has 2 divisors, whose sum is σ = 37880. Its totient is φ = 37878.

The previous prime is 37871. The next prime is 37889. The reversal of 37879 is 97873.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 37879 - 2³ = 37871 is a prime.

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 37879.

It is not a weakly prime, because it can be changed into another prime (37871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18939 + 18940.

It is an arithmetic number, because the mean of its divisors is an integer number (18940).

2³⁷⁸⁷⁹ is an apocalyptic number.

37879 is a deficient number, since it is larger than the sum of its proper divisors (1).

37879 is an equidigital number, since it uses as much as digits as its factorization.

37879 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 34.

The square root of 37879 is about 194.6252809889. The cubic root of 37879 is about 33.5840320007.

It can be divided in two parts, 37 and 879, that multiplied together give a palindrome (32523).

The spelling of 37879 in words is "thirty-seven thousand, eight hundred seventy-nine".