45164 has 12 divisors (see below), whose sum is σ = 90384. Its totient is φ = 19344.

The previous prime is 45161. The next prime is 45179. The reversal of 45164 is 46154.

It is a happy number.

45164 is nontrivially palindromic in base 3.

45164 is an admirable number.

It is a hoax number, since the sum of its digits (20) 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 (45161) 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, 779 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (7532).

2⁴⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

45164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45192).

45164 is a wasteful number, since it uses less digits than its factorization.

45164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1622 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 45164 is about 212.5182345118. The cubic root of 45164 is about 35.6120903260.

Subtracting 45164 from its reverse (46154), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 451 and 64, that added together give a palindrome (515).

The spelling of 45164 in words is "forty-five thousand, one hundred sixty-four".