45377 has 2 divisors, whose sum is σ = 45378. Its totient is φ = 45376.

The previous prime is 45361. The next prime is 45389. The reversal of 45377 is 77354.

45377 = 10⁴ + 11⁴ + 12⁴.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 5776 = 199^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 45377 - 2⁴ = 45361 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22688 + 22689.

It is an arithmetic number, because the mean of its divisors is an integer number (22689).

2⁴⁵³⁷⁷ is an apocalyptic number.

It is an amenable number.

45377 is a deficient number, since it is larger than the sum of its proper divisors (1).

45377 is an equidigital number, since it uses as much as digits as its factorization.

45377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 26.

The square root of 45377 is about 213.0187785149. The cubic root of 45377 is about 35.6679864808.

The spelling of 45377 in words is "forty-five thousand, three hundred seventy-seven".