983825700 has 576 divisors, whose sum is σ = 3779758080. Its totient is φ = 193536000.

The previous prime is 983825659. The next prime is 983825741. The reversal of 983825700 is 7528389.

It is an interprime number because it is at equal distance from previous prime (983825659) and next prime (983825741).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13856665 + ... + 13856735.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^983825700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983825700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889879040).

983825700 is an abundant number, since it is smaller than the sum of its proper divisors (2795932380).

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

983825700 is a wasteful number, since it uses less digits than its factorization.

983825700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 983825700 is about 31365.9959191479. The cubic root of 983825700 is about 994.5792350701.

The spelling of 983825700 in words is "nine hundred eighty-three million, eight hundred twenty-five thousand, seven hundred".