906312 has 32 divisors (see below), whose sum is σ = 2472480. Its totient is φ = 274560.

The previous prime is 906293. The next prime is 906313. The reversal of 906312 is 213609.

It is a super-3 number, since 3×906312³ = 2233337949322089984, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (906313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1453 + ... + 1980.

It is an arithmetic number, because the mean of its divisors is an integer number (77265).

2⁹⁰⁶³¹² is an apocalyptic number.

It is an amenable number.

906312 is an abundant number, since it is smaller than the sum of its proper divisors (1566168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

906312 is a wasteful number, since it uses less digits than its factorization.

906312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 906312 is about 952.0042016714. The cubic root of 906312 is about 96.7741228100.

The spelling of 906312 in words is "nine hundred six thousand, three hundred twelve".