657983 has 2 divisors, whose sum is σ = 657984. Its totient is φ = 657982.

The previous prime is 657973. The next prime is 658001. The reversal of 657983 is 389756.

657983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 657983 - 2¹⁰ = 656959 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 657983.

It is not a weakly prime, because it can be changed into another prime (657973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328991 + 328992.

It is an arithmetic number, because the mean of its divisors is an integer number (328992).

2⁶⁵⁷⁹⁸³ is an apocalyptic number.

657983 is a deficient number, since it is larger than the sum of its proper divisors (1).

657983 is an equidigital number, since it uses as much as digits as its factorization.

657983 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 38.

The square root of 657983 is about 811.1615128937. The cubic root of 657983 is about 86.9770935422.

The spelling of 657983 in words is "six hundred fifty-seven thousand, nine hundred eighty-three".