842825907 has 48 divisors (see below), whose sum is σ = 1536208128. Its totient is φ = 432527040.

The previous prime is 842825903. The next prime is 842825909. The reversal of 842825907 is 709528248.

It is not a de Polignac number, because 842825907 - 2² = 842825903 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (842825903) 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 47 ways as a sum of consecutive naturals, for example, 50193 + ... + 64845.

It is an arithmetic number, because the mean of its divisors is an integer number (32004336).

Almost surely, 2^842825907 is an apocalyptic number.

842825907 is a deficient number, since it is larger than the sum of its proper divisors (693382221).

842825907 is a wasteful number, since it uses less digits than its factorization.

842825907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14757 counting only the distinct ones).

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

The square root of 842825907 is about 29031.4640864012. The cubic root of 842825907 is about 944.5956883008.

The spelling of 842825907 in words is "eight hundred forty-two million, eight hundred twenty-five thousand, nine hundred seven".