36753 has 4 divisors (see below), whose sum is σ = 49008. Its totient is φ = 24500.

The previous prime is 36749. The next prime is 36761. The reversal of 36753 is 35763.

36753 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 semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 36753 - 2² = 36749 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (36713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6123 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (12252).

2³⁶⁷⁵³ is an apocalyptic number.

It is an amenable number.

36753 is a deficient number, since it is larger than the sum of its proper divisors (12255).

36753 is a wasteful number, since it uses less digits than its factorization.

36753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254.

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

The square root of 36753 is about 191.7107195751. The cubic root of 36753 is about 33.2479034614.

Subtracting from 36753 its reverse (35763), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 3675 and 3, that multiplied together give a square (11025 = 105²).

The spelling of 36753 in words is "thirty-six thousand, seven hundred fifty-three".