961959857 has 12 divisors (see below), whose sum is σ = 985857600. Its totient is φ = 938627976.

The previous prime is 961959851. The next prime is 961959863. The reversal of 961959857 is 758959169.

It is an interprime number because it is at equal distance from previous prime (961959851) and next prime (961959863).

It is not a de Polignac number, because 961959857 - 2¹⁴ = 961943473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 961959796 and 961959805.

It is not an unprimeable number, because it can be changed into a prime (961959851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1322828 + ... + 1323554.

It is an arithmetic number, because the mean of its divisors is an integer number (82154800).

Almost surely, 2^961959857 is an apocalyptic number.

It is an amenable number.

961959857 is a deficient number, since it is larger than the sum of its proper divisors (23897743).

961959857 is an equidigital number, since it uses as much as digits as its factorization.

961959857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1373 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 59.

The square root of 961959857 is about 31015.4777006578. The cubic root of 961959857 is about 987.1556821697.

The spelling of 961959857 in words is "nine hundred sixty-one million, nine hundred fifty-nine thousand, eight hundred fifty-seven".