45704 has 16 divisors (see below), whose sum is σ = 89100. Its totient is φ = 21952.

The previous prime is 45697. The next prime is 45707. The reversal of 45704 is 40754.

45704 = T₇ + T₈ + ... + T₆₄.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 4900 = 202^2 + 70^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45704.

It is not an unprimeable number, because it can be changed into a prime (45707) by changing a digit.

45704 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 in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 330.

2⁴⁵⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

45704 is a deficient number, since it is larger than the sum of its proper divisors (43396).

45704 is a wasteful number, since it uses less digits than its factorization.

45704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 45704 is about 213.7849386650. The cubic root of 45704 is about 35.7534594921.

Adding to 45704 its product of nonzero digits (560), we get a palindrome (46264).

Subtracting from 45704 its reverse (40754), we obtain a triangular number (4950 = T₉₉).

The spelling of 45704 in words is "forty-five thousand, seven hundred four".