45712 has 10 divisors (see below), whose sum is σ = 88598. Its totient is φ = 22848.

The previous prime is 45707. The next prime is 45737. The reversal of 45712 is 21754.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 4096 = 204^2 + 64^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45712.

It is an unprimeable number.

45712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1413 + ... + 1444.

2⁴⁵⁷¹² is an apocalyptic number.

It is an amenable number.

45712 is a deficient number, since it is larger than the sum of its proper divisors (42886).

45712 is a wasteful number, since it uses less digits than its factorization.

45712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2859 counting only the distinct ones).

The product of its digits is 280, while the sum is 19.

The square root of 45712 is about 213.8036482383. The cubic root of 45712 is about 35.7555454582.

It can be divided in two parts, 45 and 712, that added together give a palindrome (757).

The spelling of 45712 in words is "forty-five thousand, seven hundred twelve".