36754 has 16 divisors (see below), whose sum is σ = 62208. Its totient is φ = 16192.

The previous prime is 36749. The next prime is 36761. The reversal of 36754 is 45763.

36754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2³⁶⁷⁵⁴ is an apocalyptic number.

36754 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

36754 is a deficient number, since it is larger than the sum of its proper divisors (25454).

36754 is a wasteful number, since it uses less digits than its factorization.

36754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

The product of its digits is 2520, while the sum is 25.

The square root of 36754 is about 191.7133276536. The cubic root of 36754 is about 33.2482050023.

Subtracting 36754 from its reverse (45763), we obtain a palindrome (9009).

The spelling of 36754 in words is "thirty-six thousand, seven hundred fifty-four".