825907 has 8 divisors (see below), whose sum is σ = 871200. Its totient is φ = 781440.

The previous prime is 825889. The next prime is 825919. The reversal of 825907 is 709528.

825907 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825907 - 2⁷ = 825779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3307 + ... + 3547.

It is an arithmetic number, because the mean of its divisors is an integer number (108900).

2⁸²⁵⁹⁰⁷ is an apocalyptic number.

825907 is a deficient number, since it is larger than the sum of its proper divisors (45293).

825907 is a wasteful number, since it uses less digits than its factorization.

825907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 825907 is about 908.7942561438. The cubic root of 825907 is about 93.8232304866.

The spelling of 825907 in words is "eight hundred twenty-five thousand, nine hundred seven".