45644 has 6 divisors (see below), whose sum is σ = 79884. Its totient is φ = 22820.

The previous prime is 45641. The next prime is 45659. The reversal of 45644 is 44654.

45644 = 72² + 73² + ... + 79².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45641) 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 as a sum of consecutive naturals, namely, 5702 + ... + 5709.

It is an arithmetic number, because the mean of its divisors is an integer number (13314).

2⁴⁵⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

45644 is a deficient number, since it is larger than the sum of its proper divisors (34240).

45644 is a wasteful number, since it uses less digits than its factorization.

45644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415 (or 11413 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 45644 is about 213.6445646395. The cubic root of 45644 is about 35.7378069818.

Subtracting from 45644 its reverse (44654), we obtain a triangular number (990 = T₄₄).

The spelling of 45644 in words is "forty-five thousand, six hundred forty-four".