906813 has 12 divisors (see below), whose sum is σ = 1379040. Its totient is φ = 572616.

The previous prime is 906809. The next prime is 906817. The reversal of 906813 is 318609.

It is an interprime number because it is at equal distance from previous prime (906809) and next prime (906817).

It is not a de Polignac number, because 906813 - 2² = 906809 is a prime.

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

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906817) 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, 2481 + ... + 2822.

It is an arithmetic number, because the mean of its divisors is an integer number (114920).

2⁹⁰⁶⁸¹³ is an apocalyptic number.

It is an amenable number.

906813 is a deficient number, since it is larger than the sum of its proper divisors (472227).

906813 is a wasteful number, since it uses less digits than its factorization.

906813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5325 counting only the distinct ones).

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

The square root of 906813 is about 952.2672944085. The cubic root of 906813 is about 96.7919514402.

It can be divided in two parts, 90 and 6813, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 906813 in words is "nine hundred six thousand, eight hundred thirteen".