45764 has 12 divisors (see below), whose sum is σ = 84924. Its totient is φ = 21504.

The previous prime is 45763. The next prime is 45767. The reversal of 45764 is 46754.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 20164 = 160^2 + 142^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (7077).

2⁴⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

45764 is a deficient number, since it is larger than the sum of its proper divisors (39160).

45764 is a wasteful number, since it uses less digits than its factorization.

45764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 45764 is about 213.9252205795. The cubic root of 45764 is about 35.7690983094.

Subtracting 45764 from its reverse (46754), we obtain a triangular number (990 = T₄₄).

The spelling of 45764 in words is "forty-five thousand, seven hundred sixty-four".