45376 has 14 divisors (see below), whose sum is σ = 90170. Its totient is φ = 22656.

The previous prime is 45361. The next prime is 45377. The reversal of 45376 is 67354.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 14400 = 176^2 + 120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 291 + ... + 418.

2⁴⁵³⁷⁶ is an apocalyptic number.

It is an amenable number.

45376 is a deficient number, since it is larger than the sum of its proper divisors (44794).

45376 is an equidigital number, since it uses as much as digits as its factorization.

45376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 45376 is about 213.0164312911. The cubic root of 45376 is about 35.6677244666.

It can be divided in two parts, 453 and 76, that added together give a square (529 = 23²).

The spelling of 45376 in words is "forty-five thousand, three hundred seventy-six".