906309 has 20 divisors (see below), whose sum is σ = 1382304. Its totient is φ = 591624.

The previous prime is 906293. The next prime is 906313. The reversal of 906309 is 903609.

906309 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 906309 - 2⁴ = 906293 is a prime.

It is a super-3 number, since 3×906309³ = 2233315771556584887, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

906309 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5344 + ... + 5510.

2⁹⁰⁶³⁰⁹ is an apocalyptic number.

It is an amenable number.

906309 is a deficient number, since it is larger than the sum of its proper divisors (475995).

906309 is a wasteful number, since it uses less digits than its factorization.

906309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 906309 is about 952.0026260468. The cubic root of 906309 is about 96.7740160319.

The spelling of 906309 in words is "nine hundred six thousand, three hundred nine".