857961 has 12 divisors (see below), whose sum is σ = 1334788. Its totient is φ = 527904.

The previous prime is 857959. The next prime is 857963. The reversal of 857961 is 169758.

857961 = 169² + 170² + ... + 194².

It is an interprime number because it is at equal distance from previous prime (857959) and next prime (857963).

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 810000 = 219^2 + 900^2 .

It is not a de Polignac number, because 857961 - 2¹ = 857959 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 857961.

It is not an unprimeable number, because it can be changed into a prime (857963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3550 + ... + 3783.

2⁸⁵⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

857961 is a deficient number, since it is larger than the sum of its proper divisors (476827).

857961 is a wasteful number, since it uses less digits than its factorization.

857961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7349 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 857961 is about 926.2618420296. The cubic root of 857961 is about 95.0216386535.

The spelling of 857961 in words is "eight hundred fifty-seven thousand, nine hundred sixty-one".