657361 has 2 divisors, whose sum is σ = 657362. Its totient is φ = 657360.

The previous prime is 657347. The next prime is 657383. The reversal of 657361 is 163756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 463761 + 193600 = 681^2 + 440^2 .

It is a cyclic number.

It is not a de Polignac number, because 657361 - 2⁷ = 657233 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (657311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328680 + 328681.

It is an arithmetic number, because the mean of its divisors is an integer number (328681).

2⁶⁵⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

657361 is a deficient number, since it is larger than the sum of its proper divisors (1).

657361 is an equidigital number, since it uses as much as digits as its factorization.

657361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 657361 is about 810.7780214091. The cubic root of 657361 is about 86.9496780375.

The spelling of 657361 in words is "six hundred fifty-seven thousand, three hundred sixty-one".