45707 has 2 divisors, whose sum is σ = 45708. Its totient is φ = 45706.

The previous prime is 45697. The next prime is 45737. The reversal of 45707 is 70754.

It is a happy number.

45707 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 45707 - 2⁴ = 45691 is a prime.

It is a Chen prime.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (45737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22853 + 22854.

It is an arithmetic number, because the mean of its divisors is an integer number (22854).

2⁴⁵⁷⁰⁷ is an apocalyptic number.

45707 is a deficient number, since it is larger than the sum of its proper divisors (1).

45707 is an equidigital number, since it uses as much as digits as its factorization.

45707 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 45707 is about 213.7919549469. The cubic root of 45707 is about 35.7542417579.

The spelling of 45707 in words is "forty-five thousand, seven hundred seven".