961957 has 2 divisors, whose sum is σ = 961958. Its totient is φ = 961956.

The previous prime is 961943. The next prime is 961973. The reversal of 961957 is 759169.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 641601 + 320356 = 801^2 + 566^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-961957 is a prime.

It is a super-2 number, since 2×961957² = 1850722539698, which contains 22 as substring.

961957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (961927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480978 + 480979.

It is an arithmetic number, because the mean of its divisors is an integer number (480979).

2⁹⁶¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

961957 is a deficient number, since it is larger than the sum of its proper divisors (1).

961957 is an equidigital number, since it uses as much as digits as its factorization.

961957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17010, while the sum is 37.

The square root of 961957 is about 980.7940660506. The cubic root of 961957 is about 98.7154704892.

The spelling of 961957 in words is "nine hundred sixty-one thousand, nine hundred fifty-seven".