9958500 has 72 divisors (see below), whose sum is σ = 31429944. Its totient is φ = 2654400.

The previous prime is 9958463. The next prime is 9958519. The reversal of 9958500 is 58599.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 9771876 = 432^2 + 3126^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3394 + ... + 5606.

It is an arithmetic number, because the mean of its divisors is an integer number (436527).

Almost surely, 2^9958500 is an apocalyptic number.

9958500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9958500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714972).

9958500 is an abundant number, since it is smaller than the sum of its proper divisors (21471444).

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

9958500 is a wasteful number, since it uses less digits than its factorization.

9958500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9958500 is about 3155.7091120697. The cubic root of 9958500 is about 215.1450256429.

The spelling of 9958500 in words is "nine million, nine hundred fifty-eight thousand, five hundred".