9984975 has 144 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 3628800.

The previous prime is 9984941. The next prime is 9984979. The reversal of 9984975 is 5794899.

9984975 = 190² + 191² + ... + 332².

It is a happy number.

It is not a de Polignac number, because 9984975 - 2¹⁶ = 9919439 is a prime.

Its product of digits (816480) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984979) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 525516 + ... + 525534.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 2^9984975 is an apocalyptic number.

9984975 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9984975 is an abundant number, since it is smaller than the sum of its proper divisors (13763505).

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

9984975 is a wasteful number, since it uses less digits than its factorization.

9984975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 9984975 is about 3159.9011060475. The cubic root of 9984975 is about 215.3355136468.

It can be divided in two parts, 9984 and 975, that multiplied together give a square (9734400 = 3120²).

The spelling of 9984975 in words is "nine million, nine hundred eighty-four thousand, nine hundred seventy-five".