47657 has 2 divisors, whose sum is σ = 47658. Its totient is φ = 47656.

The previous prime is 47653. The next prime is 47659. The reversal of 47657 is 75674.

47657 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., 44521 + 3136 = 211^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 47657 - 2² = 47653 is a prime.

Together with 47659, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47657.

It is not a weakly prime, because it can be changed into another prime (47653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23828 + 23829.

It is an arithmetic number, because the mean of its divisors is an integer number (23829).

2⁴⁷⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

47657 is a deficient number, since it is larger than the sum of its proper divisors (1).

47657 is an equidigital number, since it uses as much as digits as its factorization.

47657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5880, while the sum is 29.

The square root of 47657 is about 218.3048327454. The cubic root of 47657 is about 36.2556392337.

It can be divided in two parts, 4 and 7657, that multiplied together give a triangular number (30628 = T₂₄₇).

The spelling of 47657 in words is "forty-seven thousand, six hundred fifty-seven".