523657 has 2 divisors, whose sum is σ = 523658. Its totient is φ = 523656.

The previous prime is 523639. The next prime is 523667. The reversal of 523657 is 756325.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 423801 + 99856 = 651^2 + 316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-523657 is a prime.

523657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (523637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261828 + 261829.

It is an arithmetic number, because the mean of its divisors is an integer number (261829).

2⁵²³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

523657 is a deficient number, since it is larger than the sum of its proper divisors (1).

523657 is an equidigital number, since it uses as much as digits as its factorization.

523657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6300, while the sum is 28.

The square root of 523657 is about 723.6414858202. The cubic root of 523657 is about 80.6025851597.

The spelling of 523657 in words is "five hundred twenty-three thousand, six hundred fifty-seven".