906831 has 12 divisors (see below), whose sum is σ = 1387152. Its totient is φ = 568896.

The previous prime is 906823. The next prime is 906839. The reversal of 906831 is 138609.

It is an interprime number because it is at equal distance from previous prime (906823) and next prime (906839).

It is not a de Polignac number, because 906831 - 2³ = 906823 is a prime.

It is a super-2 number, since 2×906831² = 1644684925122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 906795 and 906804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2811 + ... + 3116.

It is an arithmetic number, because the mean of its divisors is an integer number (115596).

2⁹⁰⁶⁸³¹ is an apocalyptic number.

906831 is a deficient number, since it is larger than the sum of its proper divisors (480321).

906831 is a wasteful number, since it uses less digits than its factorization.

906831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 906831 is about 952.2767454895. The cubic root of 906831 is about 96.7925918676.

The spelling of 906831 in words is "nine hundred six thousand, eight hundred thirty-one".