45717 has 12 divisors (see below), whose sum is σ = 71136. Its totient is φ = 26040.

The previous prime is 45707. The next prime is 45737. The reversal of 45717 is 71754.

45717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45717 - 2⁷ = 45589 is a prime.

45717 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2⁴⁵⁷¹⁷ is an apocalyptic number.

It is an amenable number.

45717 is a deficient number, since it is larger than the sum of its proper divisors (25419).

45717 is a wasteful number, since it uses less digits than its factorization.

45717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 45717 is about 213.8153408902. The cubic root of 45717 is about 35.7568490635.

It can be divided in two parts, 457 and 17, that added together give a palindrome (474).

The spelling of 45717 in words is "forty-five thousand, seven hundred seventeen".