57089 has 2 divisors, whose sum is σ = 57090. Its totient is φ = 57088.

The previous prime is 57077. The next prime is 57097. The reversal of 57089 is 98075.

It is a happy number.

57089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 10000 = 217^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 57089 - 2⁴ = 57073 is a prime.

It is a Chen prime.

It is equal to p₅₇₈₉ and since 57089 and 5789 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (57059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28544 + 28545.

It is an arithmetic number, because the mean of its divisors is an integer number (28545).

It is a Proth number, since it is equal to 223 ⋅ 2⁸ + 1 and 223 < 2⁸.

2⁵⁷⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

57089 is a deficient number, since it is larger than the sum of its proper divisors (1).

57089 is an equidigital number, since it uses as much as digits as its factorization.

57089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 57089 is about 238.9330450147. The cubic root of 57089 is about 38.5050311073.

The spelling of 57089 in words is "fifty-seven thousand, eighty-nine".