37095 has 8 divisors (see below), whose sum is σ = 59376. Its totient is φ = 19776.

The previous prime is 37087. The next prime is 37097. The reversal of 37095 is 59073.

37095 is digitally balanced in base 2 and base 4, because in such bases 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 not a de Polignac number, because 37095 - 2³ = 37087 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

37095 is a lucky number.

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 37095.

It is not an unprimeable number, because it can be changed into a prime (37097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222 + ... + 1251.

It is an arithmetic number, because the mean of its divisors is an integer number (7422).

2³⁷⁰⁹⁵ is an apocalyptic number.

37095 is a deficient number, since it is larger than the sum of its proper divisors (22281).

37095 is a wasteful number, since it uses less digits than its factorization.

37095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 37095 is about 192.6006230520. The cubic root of 37095 is about 33.3507131589.

It can be divided in two parts, 370 and 95, that added together give a triangular number (465 = T₃₀).

The spelling of 37095 in words is "thirty-seven thousand, ninety-five".