825306 has 16 divisors (see below), whose sum is σ = 1676064. Its totient is φ = 270864.

The previous prime is 825301. The next prime is 825329. The reversal of 825306 is 603528.

It is a super-2 number, since 2×825306² = 1362259987272, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825301) by changing a digit.

825306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (104754).

2⁸²⁵³⁰⁶ is an apocalyptic number.

825306 is an abundant number, since it is smaller than the sum of its proper divisors (850758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825306 is a wasteful number, since it uses less digits than its factorization.

825306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125.

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

The square root of 825306 is about 908.4635380685. The cubic root of 825306 is about 93.8004670502.

The spelling of 825306 in words is "eight hundred twenty-five thousand, three hundred six".