961657 has 2 divisors, whose sum is σ = 961658. Its totient is φ = 961656.

The previous prime is 961643. The next prime is 961661. The reversal of 961657 is 756169.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 885481 + 76176 = 941^2 + 276^2 .

It is a cyclic number.

It is not a de Polignac number, because 961657 - 2⁷ = 961529 is a prime.

It is an Ulam number.

961657 is a lucky number.

It is a plaindrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (961627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480828 + 480829.

It is an arithmetic number, because the mean of its divisors is an integer number (480829).

2⁹⁶¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

961657 is a deficient number, since it is larger than the sum of its proper divisors (1).

961657 is an equidigital number, since it uses as much as digits as its factorization.

961657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11340, while the sum is 34.

The square root of 961657 is about 980.6411168210. The cubic root of 961657 is about 98.7052074801.

The spelling of 961657 in words is "nine hundred sixty-one thousand, six hundred fifty-seven".