45077 has 2 divisors, whose sum is σ = 45078. Its totient is φ = 45076.

The previous prime is 45061. The next prime is 45083. The reversal of 45077 is 77054.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 5476 = 199^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 45077 - 2⁴ = 45061 is a prime.

It is a Chen 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 (45007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22538 + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (22539).

2⁴⁵⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

45077 is a deficient number, since it is larger than the sum of its proper divisors (1).

45077 is an equidigital number, since it uses as much as digits as its factorization.

45077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 45077 is about 212.3134475251. The cubic root of 45077 is about 35.5892089500.

Subtracting from 45077 its sum of digits (23), we obtain a palindrome (45054).

The spelling of 45077 in words is "forty-five thousand, seventy-seven".