812961 has 12 divisors (see below), whose sum is σ = 1194960. Its totient is φ = 532440.

The previous prime is 812939. The next prime is 812963. The reversal of 812961 is 169218.

812961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 812961 - 2¹¹ = 810913 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (812963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (99580).

2⁸¹²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

812961 is a deficient number, since it is larger than the sum of its proper divisors (381999).

812961 is a wasteful number, since it uses less digits than its factorization.

812961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1593 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 812961 is about 901.6434993943. The cubic root of 812961 is about 93.3304236621.

The spelling of 812961 in words is "eight hundred twelve thousand, nine hundred sixty-one".