825297984 has 441 divisors, whose sum is σ = 3014558487. Its totient is φ = 223388928.

The previous prime is 825297953. The next prime is 825297989. The reversal of 825297984 is 489792528.

The square root of 825297984 is 28728.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (441).

It is a super-2 number, since 2×825297984² = 1362233524788928512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 825297984.

It is not an unprimeable number, because it can be changed into a prime (825297989) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 43436727 + ... + 43436745.

Almost surely, 2^825297984 is an apocalyptic number.

825297984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

825297984 is the 28728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825297984

825297984 is an abundant number, since it is smaller than the sum of its proper divisors (2189260503).

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

825297984 is an equidigital number, since it uses as much as digits as its factorization.

825297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 31 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The cubic root of 825297984 is about 938.0016336201.

It can be divided in two parts, 825297 and 984, that added together give a square (826281 = 909²).

The spelling of 825297984 in words is "eight hundred twenty-five million, two hundred ninety-seven thousand, nine hundred eighty-four".