36675 has 18 divisors (see below), whose sum is σ = 66092. Its totient is φ = 19440.

The previous prime is 36671. The next prime is 36677. The reversal of 36675 is 57663.

36675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36675 - 2² = 36671 is a prime.

It is a Duffinian number.

36675 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (36671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144 + ... + 306.

2³⁶⁶⁷⁵ is an apocalyptic number.

36675 is a deficient number, since it is larger than the sum of its proper divisors (29417).

36675 is a wasteful number, since it uses less digits than its factorization.

36675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 36675 is about 191.5071800221. The cubic root of 36675 is about 33.2243663966.

It can be divided in two parts, 366 and 75, that added together give a square (441 = 21²).

The spelling of 36675 in words is "thirty-six thousand, six hundred seventy-five".