45557 has 2 divisors, whose sum is σ = 45558. Its totient is φ = 45556.

The previous prime is 45553. The next prime is 45569. The reversal of 45557 is 75554.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 7921 = 194^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 45557 - 2² = 45553 is a prime.

It is a Chen prime.

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22778 + 22779.

It is an arithmetic number, because the mean of its divisors is an integer number (22779).

2⁴⁵⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

45557 is a deficient number, since it is larger than the sum of its proper divisors (1).

45557 is an equidigital number, since it uses as much as digits as its factorization.

45557 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3500, while the sum is 26.

The square root of 45557 is about 213.4408583191. The cubic root of 45557 is about 35.7150864582.

It can be divided in two parts, 455 and 57, that added together give a 9-th power (512 = 2⁹).

The spelling of 45557 in words is "forty-five thousand, five hundred fifty-seven".