47057 has 2 divisors, whose sum is σ = 47058. Its totient is φ = 47056.

The previous prime is 47051. The next prime is 47059. The reversal of 47057 is 75074.

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., 28561 + 18496 = 169^2 + 136^2 .

It is a cyclic number.

It is not a de Polignac number, because 47057 - 2⁴ = 47041 is a prime.

It is a super-2 number, since 2×47057² = 4428722498, which contains 22 as substring.

Together with 47059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23528 + 23529.

It is an arithmetic number, because the mean of its divisors is an integer number (23529).

2⁴⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

47057 is a deficient number, since it is larger than the sum of its proper divisors (1).

47057 is an equidigital number, since it uses as much as digits as its factorization.

47057 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 47057 is about 216.9262547503. The cubic root of 47057 is about 36.1028437791.

The spelling of 47057 in words is "forty-seven thousand, fifty-seven".