906315 has 32 divisors (see below), whose sum is σ = 1575936. Its totient is φ = 443520.

The previous prime is 906313. The next prime is 906317. The reversal of 906315 is 513609.

It is an interprime number because it is at equal distance from previous prime (906313) and next prime (906317).

It is not a de Polignac number, because 906315 - 2¹ = 906313 is a prime.

It is a super-3 number, since 3×906315³ = 2233360127234417625, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12730 + ... + 12800.

It is an arithmetic number, because the mean of its divisors is an integer number (49248).

2⁹⁰⁶³¹⁵ is an apocalyptic number.

906315 is a deficient number, since it is larger than the sum of its proper divisors (669621).

906315 is a wasteful number, since it uses less digits than its factorization.

906315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 906315 is about 952.0057772934. The cubic root of 906315 is about 96.7742295878.

It can be divided in two parts, 906 and 315, that multiplied together give a triangular number (285390 = T₇₅₅).

The spelling of 906315 in words is "nine hundred six thousand, three hundred fifteen".