37875 has 16 divisors (see below), whose sum is σ = 63648. Its totient is φ = 20000.

The previous prime is 37871. The next prime is 37879. The reversal of 37875 is 57873.

37875 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37871) and next prime (37879).

It is not a de Polignac number, because 37875 - 2² = 37871 is a prime.

37875 is strictly pandigital in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37875.

It is not an unprimeable number, because it can be changed into a prime (37871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (3978).

37875 is a Friedman number, since it can be written as 75*(8^3-7), using all its digits and the basic arithmetic operations.

2³⁷⁸⁷⁵ is an apocalyptic number.

37875 is a deficient number, since it is larger than the sum of its proper divisors (25773).

37875 is a wasteful number, since it uses less digits than its factorization.

37875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 37875 is about 194.6150045603. The cubic root of 37875 is about 33.5828498077.

The spelling of 37875 in words is "thirty-seven thousand, eight hundred seventy-five".