36700 has 18 divisors (see below), whose sum is σ = 79856. Its totient is φ = 14640.

The previous prime is 36697. The next prime is 36709. The reversal of 36700 is 763.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84 + ... + 283.

2³⁶⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

36700 is an abundant number, since it is smaller than the sum of its proper divisors (43156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36700 is a wasteful number, since it uses less digits than its factorization.

36700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 36700 is about 191.5724406067. The cubic root of 36700 is about 33.2319139585.

Subtracting from 36700 its reverse (763), we obtain a cube (35937 = 33³).

It can be divided in two parts, 36 and 700, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 36700 in words is "thirty-six thousand, seven hundred".