657049 has 2 divisors, whose sum is σ = 657050. Its totient is φ = 657048.

The previous prime is 657047. The next prime is 657061. The reversal of 657049 is 940756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 585225 + 71824 = 765^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 657049 - 2¹ = 657047 is a prime.

Together with 657047, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 657049.

It is not a weakly prime, because it can be changed into another prime (657047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328524 + 328525.

It is an arithmetic number, because the mean of its divisors is an integer number (328525).

2⁶⁵⁷⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

657049 is a deficient number, since it is larger than the sum of its proper divisors (1).

657049 is an equidigital number, since it uses as much as digits as its factorization.

657049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 657049 is about 810.5855907922. The cubic root of 657049 is about 86.9359196954.

The spelling of 657049 in words is "six hundred fifty-seven thousand, forty-nine".