825607 has 6 divisors (see below), whose sum is σ = 871728. Its totient is φ = 781812.

The previous prime is 825593. The next prime is 825611. The reversal of 825607 is 706528.

It is not a de Polignac number, because 825607 - 2⁷ = 825479 is a prime.

It is a Duffinian number.

825607 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 783 + ... + 1504.

It is an arithmetic number, because the mean of its divisors is an integer number (145288).

2⁸²⁵⁶⁰⁷ is an apocalyptic number.

825607 is a deficient number, since it is larger than the sum of its proper divisors (46121).

825607 is a wasteful number, since it uses less digits than its factorization.

825607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 825607 is about 908.6291872926. The cubic root of 825607 is about 93.8118690872.

The spelling of 825607 in words is "eight hundred twenty-five thousand, six hundred seven".