825208747 has 24 divisors (see below), whose sum is σ = 991460736. Its totient is φ = 683232000.

The previous prime is 825208729. The next prime is 825208819. The reversal of 825208747 is 747802528.

It is not a de Polignac number, because 825208747 - 2⁷ = 825208619 is a prime.

It is a super-2 number, since 2×825208747² = 1361938952250620018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825208847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57297 + ... + 70237.

It is an arithmetic number, because the mean of its divisors is an integer number (41310864).

Almost surely, 2^825208747 is an apocalyptic number.

825208747 is a deficient number, since it is larger than the sum of its proper divisors (166251989).

825208747 is a wasteful number, since it uses less digits than its factorization.

825208747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The square root of 825208747 is about 28726.4468217007. The cubic root of 825208747 is about 937.9678246321.

The spelling of 825208747 in words is "eight hundred twenty-five million, two hundred eight thousand, seven hundred forty-seven".