45364 has 12 divisors (see below), whose sum is σ = 86688. Its totient is φ = 20600.

The previous prime is 45361. The next prime is 45377. The reversal of 45364 is 46354.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45361) 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, 472 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (7224).

45364 is a Friedman number, since it can be written as 35*6^4+4, using all its digits and the basic arithmetic operations.

2⁴⁵³⁶⁴ is an apocalyptic number.

45364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45364 is a deficient number, since it is larger than the sum of its proper divisors (41324).

45364 is a wasteful number, since it uses less digits than its factorization.

45364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1044 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 45364 is about 212.9882625874. The cubic root of 45364 is about 35.6645799965.

Subtracting 45364 from its reverse (46354), we obtain a triangular number (990 = T₄₄).

The spelling of 45364 in words is "forty-five thousand, three hundred sixty-four".