57077 has 2 divisors, whose sum is σ = 57078. Its totient is φ = 57076.

The previous prime is 57073. The next prime is 57089. The reversal of 57077 is 77075.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 14641 = 206^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 57077 - 2² = 57073 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28538 + 28539.

It is an arithmetic number, because the mean of its divisors is an integer number (28539).

2⁵⁷⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

57077 is a deficient number, since it is larger than the sum of its proper divisors (1).

57077 is an equidigital number, since it uses as much as digits as its factorization.

57077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1715, while the sum is 26.

The square root of 57077 is about 238.9079320575. The cubic root of 57077 is about 38.5023330233.

The spelling of 57077 in words is "fifty-seven thousand, seventy-seven".