36375 has 16 divisors (see below), whose sum is σ = 61152. Its totient is φ = 19200.

The previous prime is 36373. The next prime is 36383. The reversal of 36375 is 57363.

36375 is nontrivially palindromic in base 13.

36375 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 36375 - 2¹ = 36373 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1890) is a multiple of the sum of its prime divisors (105).

36375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36373) 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, 327 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2³⁶³⁷⁵ is an apocalyptic number.

36375 is a deficient number, since it is larger than the sum of its proper divisors (24777).

36375 is an equidigital number, since it uses as much as digits as its factorization.

36375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 36375 is about 190.7223112276. The cubic root of 36375 is about 33.1335269374.

It can be divided in two parts, 363 and 75, that multiplied together give a square (27225 = 165²).

The spelling of 36375 in words is "thirty-six thousand, three hundred seventy-five".