825974819 has 16 divisors (see below), whose sum is σ = 866611200. Its totient is φ = 786322080.

The previous prime is 825974813. The next prime is 825974867. The reversal of 825974819 is 918479528.

It is a cyclic number.

It is not a de Polignac number, because 825974819 - 2²⁰ = 824926243 is a prime.

It is a super-2 number, since 2×825974819² = 1364468803244165522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825974813) 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 15 ways as a sum of consecutive naturals, for example, 532457 + ... + 534005.

It is an arithmetic number, because the mean of its divisors is an integer number (54163200).

Almost surely, 2^825974819 is an apocalyptic number.

825974819 is a deficient number, since it is larger than the sum of its proper divisors (40636381).

825974819 is a wasteful number, since it uses less digits than its factorization.

825974819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850.

The product of its digits is 1451520, while the sum is 53.

The square root of 825974819 is about 28739.7776435379. Note that the first 3 decimals coincide. The cubic root of 825974819 is about 938.2579850115.

The spelling of 825974819 in words is "eight hundred twenty-five million, nine hundred seventy-four thousand, eight hundred nineteen".