37995 has 16 divisors (see below), whose sum is σ = 64800. Its totient is φ = 18944.

The previous prime is 37993. The next prime is 37997. The reversal of 37995 is 59973.

37995 is nontrivially palindromic in base 14.

37995 is digitally balanced in base 2, 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 (37993) and next prime (37997).

It is a cyclic number.

It is not a de Polignac number, because 37995 - 2¹ = 37993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37991) 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, 181 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2³⁷⁹⁹⁵ is an apocalyptic number.

37995 is a deficient number, since it is larger than the sum of its proper divisors (26805).

37995 is a wasteful number, since it uses less digits than its factorization.

37995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its digits is 8505, while the sum is 33.

The square root of 37995 is about 194.9230617449. The cubic root of 37995 is about 33.6182794527.

It can be divided in two parts, 379 and 95, that added together give a palindrome (474).

The spelling of 37995 in words is "thirty-seven thousand, nine hundred ninety-five".