45708 has 24 divisors (see below), whose sum is σ = 115248. Its totient is φ = 14016.

The previous prime is 45707. The next prime is 45737. The reversal of 45708 is 80754.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (45707) 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 7 ways as a sum of consecutive naturals, for example, 10 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (4802).

2⁴⁵⁷⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57624).

45708 is an abundant number, since it is smaller than the sum of its proper divisors (69540).

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

45708 is a wasteful number, since it uses less digits than its factorization.

45708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 45708 is about 213.7942936563. The cubic root of 45708 is about 35.7545025056.

The spelling of 45708 in words is "forty-five thousand, seven hundred eight".