45659 has 2 divisors, whose sum is σ = 45660. Its totient is φ = 45658.

The previous prime is 45641. The next prime is 45667. The reversal of 45659 is 95654.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45659 - 2⁸ = 45403 is a prime.

It is not a weakly prime, because it can be changed into another prime (45259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22829 + 22830.

It is an arithmetic number, because the mean of its divisors is an integer number (22830).

2⁴⁵⁶⁵⁹ is an apocalyptic number.

45659 is a deficient number, since it is larger than the sum of its proper divisors (1).

45659 is an equidigital number, since it uses as much as digits as its factorization.

45659 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5400, while the sum is 29.

The square root of 45659 is about 213.6796667912. The cubic root of 45659 is about 35.7417213947.

It can be divided in two parts, 456 and 59, that added together give a palindrome (515).

The spelling of 45659 in words is "forty-five thousand, six hundred fifty-nine".