825434793 has 24 divisors (see below), whose sum is σ = 1241018688. Its totient is φ = 548258544.

The previous prime is 825434783. The next prime is 825434807. The reversal of 825434793 is 397434528.

It is not a de Polignac number, because 825434793 - 2⁴ = 825434777 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 (825434713) 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, 61180 + ... + 73442.

It is an arithmetic number, because the mean of its divisors is an integer number (51709112).

Almost surely, 2^825434793 is an apocalyptic number.

It is an amenable number.

825434793 is a deficient number, since it is larger than the sum of its proper divisors (415583895).

825434793 is a wasteful number, since it uses less digits than its factorization.

825434793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555 (or 12543 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 825434793 is about 28730.3810103521. The cubic root of 825434793 is about 938.0534613549.

The spelling of 825434793 in words is "eight hundred twenty-five million, four hundred thirty-four thousand, seven hundred ninety-three".