906825 has 24 divisors (see below), whose sum is σ = 1526688. Its totient is φ = 474880.

The previous prime is 906823. The next prime is 906839. The reversal of 906825 is 528609.

It is not a de Polignac number, because 906825 - 2¹ = 906823 is a prime.

906825 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 906792 and 906801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906825.

It is not an unprimeable number, because it can be changed into a prime (906823) 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 23 ways as a sum of consecutive naturals, for example, 7969 + ... + 8081.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2⁹⁰⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

906825 is a deficient number, since it is larger than the sum of its proper divisors (619863).

906825 is a wasteful number, since it uses less digits than its factorization.

906825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 906825 is about 952.2735951395. The cubic root of 906825 is about 96.7923783927.

The spelling of 906825 in words is "nine hundred six thousand, eight hundred twenty-five".