45064 has 16 divisors (see below), whose sum is σ = 87120. Its totient is φ = 21840.

The previous prime is 45061. The next prime is 45077. The reversal of 45064 is 46054.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45061) 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, 279 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

2⁴⁵⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

45064 is a deficient number, since it is larger than the sum of its proper divisors (42056).

45064 is a wasteful number, since it uses less digits than its factorization.

45064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45064 is about 212.2828302054. The cubic root of 45064 is about 35.5857873662.

Subtracting 45064 from its reverse (46054), we obtain a triangular number (990 = T₄₄).

The spelling of 45064 in words is "forty-five thousand, sixty-four".