45757 has 2 divisors, whose sum is σ = 45758. Its totient is φ = 45756.

The previous prime is 45751. The next prime is 45763. The reversal of 45757 is 75754.

It is a balanced prime because it is at equal distance from previous prime (45751) and next prime (45763).

It can be written as a sum of positive squares in only one way, i.e., 32761 + 12996 = 181^2 + 114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22878 + 22879.

It is an arithmetic number, because the mean of its divisors is an integer number (22879).

2⁴⁵⁷⁵⁷ is an apocalyptic number.

45757 is the 124-th hex number.

It is an amenable number.

45757 is a deficient number, since it is larger than the sum of its proper divisors (1).

45757 is an equidigital number, since it uses as much as digits as its factorization.

45757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4900, while the sum is 28.

The square root of 45757 is about 213.9088590966. The cubic root of 45757 is about 35.7672744853.

The spelling of 45757 in words is "forty-five thousand, seven hundred fifty-seven".