45701 has 4 divisors (see below), whose sum is σ = 47712. Its totient is φ = 43692.

The previous prime is 45697. The next prime is 45707. The reversal of 45701 is 10754.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 45701 - 2² = 45697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45701.

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 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, 971 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (11928).

2⁴⁵⁷⁰¹ is an apocalyptic number.

It is an amenable number.

45701 is a deficient number, since it is larger than the sum of its proper divisors (2011).

45701 is a wasteful number, since it uses less digits than its factorization.

45701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 45701 is about 213.7779221529. Note that the first 3 decimals coincide. The cubic root of 45701 is about 35.7526771920.

The spelling of 45701 in words is "forty-five thousand, seven hundred one".