825907842 has 48 divisors (see below), whose sum is σ = 1827334080. Its totient is φ = 269516256.

The previous prime is 825907811. The next prime is 825907843. The reversal of 825907842 is 248709528.

It is not an unprimeable number, because it can be changed into a prime (825907843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277828 + ... + 280784.

It is an arithmetic number, because the mean of its divisors is an integer number (38069460).

Almost surely, 2^825907842 is an apocalyptic number.

825907842 is an abundant number, since it is smaller than the sum of its proper divisors (1001426238).

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

825907842 is a wasteful number, since it uses less digits than its factorization.

825907842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 825907842 is about 28738.6123882139. The cubic root of 825907842 is about 938.2326237042.

The spelling of 825907842 in words is "eight hundred twenty-five million, nine hundred seven thousand, eight hundred forty-two".