127657 has 2 divisors, whose sum is σ = 127658. Its totient is φ = 127656.

The previous prime is 127649. The next prime is 127663. The reversal of 127657 is 756721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68121 + 59536 = 261^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 127657 - 2³ = 127649 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63828 + 63829.

It is an arithmetic number, because the mean of its divisors is an integer number (63829).

2¹²⁷⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

127657 is a deficient number, since it is larger than the sum of its proper divisors (1).

127657 is an equidigital number, since it uses as much as digits as its factorization.

127657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 28.

The square root of 127657 is about 357.2911977645. The cubic root of 127657 is about 50.3517857971.

It can be divided in two parts, 127 and 657, that added together give a square (784 = 28²).

The spelling of 127657 in words is "one hundred twenty-seven thousand, six hundred fifty-seven".