825624921 has 16 divisors (see below), whose sum is σ = 1206164160. Its totient is φ = 498189120.

The previous prime is 825624901. The next prime is 825624929. The reversal of 825624921 is 129426528.

It is not a de Polignac number, because 825624921 - 2²⁹ = 288754009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825624921.

It is not an unprimeable number, because it can be changed into a prime (825624929) 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, 47070 + ... + 62183.

It is an arithmetic number, because the mean of its divisors is an integer number (75385260).

Almost surely, 2^825624921 is an apocalyptic number.

It is an amenable number.

825624921 is a deficient number, since it is larger than the sum of its proper divisors (380539239).

825624921 is a wasteful number, since it uses less digits than its factorization.

825624921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109496.

The product of its digits is 69120, while the sum is 39.

The square root of 825624921 is about 28733.6896516963. The cubic root of 825624921 is about 938.1254785666.

The spelling of 825624921 in words is "eight hundred twenty-five million, six hundred twenty-four thousand, nine hundred twenty-one".