906395 has 32 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 556416.

The previous prime is 906391. The next prime is 906403. The reversal of 906395 is 593609.

It is not a de Polignac number, because 906395 - 2² = 906391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (906391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19262 + ... + 19308.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2⁹⁰⁶³⁹⁵ is an apocalyptic number.

906395 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

906395 is a deficient number, since it is larger than the sum of its proper divisors (476005).

906395 is a wasteful number, since it uses less digits than its factorization.

906395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 906395 is about 952.0477929180. The cubic root of 906395 is about 96.7770769093. Note that the first 3 decimals are identical.

The spelling of 906395 in words is "nine hundred six thousand, three hundred ninety-five".