45751 has 2 divisors, whose sum is σ = 45752. Its totient is φ = 45750.

The previous prime is 45737. The next prime is 45757. The reversal of 45751 is 15754.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45751 - 2¹⁵ = 12983 is a prime.

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 (45757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22875 + 22876.

It is an arithmetic number, because the mean of its divisors is an integer number (22876).

2⁴⁵⁷⁵¹ is an apocalyptic number.

45751 is a deficient number, since it is larger than the sum of its proper divisors (1).

45751 is an equidigital number, since it uses as much as digits as its factorization.

45751 is an evil number, because the sum of its binary digits is even.

The product of its digits is 700, while the sum is 22.

The square root of 45751 is about 213.8948339722. The cubic root of 45751 is about 35.7657110595.

The spelling of 45751 in words is "forty-five thousand, seven hundred fifty-one".