306825 has 12 divisors (see below), whose sum is σ = 507408. Its totient is φ = 163600.

The previous prime is 306821. The next prime is 306827. The reversal of 306825 is 528603.

306825 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 306825 - 2² = 306821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 306795 and 306804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306825.

It is not an unprimeable number, because it can be changed into a prime (306821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (42284).

2³⁰⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

306825 is a deficient number, since it is larger than the sum of its proper divisors (200583).

306825 is a wasteful number, since it uses less digits than its factorization.

306825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 306825 is about 553.9178639474. The cubic root of 306825 is about 67.4471465545.

The spelling of 306825 in words is "three hundred six thousand, eight hundred twenty-five".