99993330 has 48 divisors (see below), whose sum is σ = 262393560. Its totient is φ = 26417664.

The previous prime is 99993329. The next prime is 99993331. The reversal of 99993330 is 3339999.

It is an interprime number because it is at equal distance from previous prime (99993329) and next prime (99993331).

It can be written as a sum of positive squares in 4 ways, for example, as 93837969 + 6155361 = 9687^2 + 2481^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99993331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4714 + ... + 14906.

Almost surely, 2^99993330 is an apocalyptic number.

99993330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99993330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131196780).

99993330 is an abundant number, since it is smaller than the sum of its proper divisors (162400230).

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

99993330 is a wasteful number, since it uses less digits than its factorization.

99993330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 177147, while the sum is 45.

The square root of 99993330 is about 9999.6664944387. Note that the first 3 decimals coincide. The cubic root of 99993330 is about 464.1485633327.

The spelling of 99993330 in words is "ninety-nine million, nine hundred ninety-three thousand, three hundred thirty".