825983984 has 30 divisors (see below), whose sum is σ = 1861626384. Its totient is φ = 353992800.

The previous prime is 825983957. The next prime is 825983987. The reversal of 825983984 is 489389528.

825983984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825983987) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 525992 + ... + 527559.

Almost surely, 2^825983984 is an apocalyptic number.

It is an amenable number.

825983984 is an abundant number, since it is smaller than the sum of its proper divisors (1035642400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825983984 is a wasteful number, since it uses less digits than its factorization.

825983984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053573 (or 1053560 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 56.

The square root of 825983984 is about 28739.9370910933. The cubic root of 825983984 is about 938.2614552960.

The spelling of 825983984 in words is "eight hundred twenty-five million, nine hundred eighty-three thousand, nine hundred eighty-four".