45713 has 4 divisors (see below), whose sum is σ = 48420. Its totient is φ = 43008.

The previous prime is 45707. The next prime is 45737. The reversal of 45713 is 31754.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31754 = 2 ⋅15877.

It can be written as a sum of positive squares in 2 ways, for example, as 16129 + 29584 = 127^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 45713 - 2⁴ = 45697 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (45763) 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 3 ways as a sum of consecutive naturals, for example, 1328 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (12105).

2⁴⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

45713 is a deficient number, since it is larger than the sum of its proper divisors (2707).

45713 is a wasteful number, since it uses less digits than its factorization.

45713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706.

The product of its digits is 420, while the sum is 20.

The square root of 45713 is about 213.8059868198. The cubic root of 45713 is about 35.7558061869.

The spelling of 45713 in words is "forty-five thousand, seven hundred thirteen".