36975 has 24 divisors (see below), whose sum is σ = 66960. Its totient is φ = 17920.

The previous prime is 36973. The next prime is 36979. The reversal of 36975 is 57963.

36975 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 not a de Polignac number, because 36975 - 2¹ = 36973 is a prime.

Its product of digits (5670) is a multiple of the sum of its prime divisors (54).

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 36975.

It is not an unprimeable number, because it can be changed into a prime (36973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2³⁶⁹⁷⁵ is an apocalyptic number.

36975 is a deficient number, since it is larger than the sum of its proper divisors (29985).

36975 is a wasteful number, since it uses less digits than its factorization.

36975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 54 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 36975 is about 192.2888452303. The cubic root of 36975 is about 33.3147118213.

It can be divided in two parts, 369 and 75, that added together give a palindrome (444).

The spelling of 36975 in words is "thirty-six thousand, nine hundred seventy-five".