45725 has 12 divisors (see below), whose sum is σ = 59520. Its totient is φ = 34800.

The previous prime is 45707. The next prime is 45737. The reversal of 45725 is 52754.

45725 = T₆ + T₇ + ... + T₆₄.

It is not a de Polignac number, because 45725 - 2¹⁰ = 44701 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1400) is a multiple of the sum of its prime factors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 45725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2⁴⁵⁷²⁵ is an apocalyptic number.

It is an amenable number.

45725 is a deficient number, since it is larger than the sum of its proper divisors (13795).

45725 is a wasteful number, since it uses less digits than its factorization.

45725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its digits is 1400, while the sum is 23.

The square root of 45725 is about 213.8340478034. The cubic root of 45725 is about 35.7589346342.

The spelling of 45725 in words is "forty-five thousand, seven hundred twenty-five".