825342309 has 24 divisors (see below), whose sum is σ = 1317014400. Its totient is φ = 493871040.

The previous prime is 825342283. The next prime is 825342317. The reversal of 825342309 is 903243528.

825342309 is a `hidden beast` number, since 8 + 2 + 5 + 342 + 309 = 666.

825342309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825342309 - 2⁷ = 825342181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825342379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44944 + ... + 60585.

It is an arithmetic number, because the mean of its divisors is an integer number (54875600).

Almost surely, 2^825342309 is an apocalyptic number.

It is an amenable number.

825342309 is a deficient number, since it is larger than the sum of its proper divisors (491672091).

825342309 is a wasteful number, since it uses less digits than its factorization.

825342309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105625 (or 105622 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 825342309 is about 28728.7714495417. The cubic root of 825342309 is about 938.0184260106.

The spelling of 825342309 in words is "eight hundred twenty-five million, three hundred forty-two thousand, three hundred nine".