99913 has 8 divisors (see below), whose sum is σ = 112896. Its totient is φ = 87600.

The previous prime is 99907. The next prime is 99923. The reversal of 99913 is 31999.

99913 is nontrivially palindromic in base 4.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 99913 - 2⁵ = 99881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2⁹⁹⁹¹³ is an apocalyptic number.

It is an amenable number.

99913 is a deficient number, since it is larger than the sum of its proper divisors (12983).

99913 is a wasteful number, since it uses less digits than its factorization.

99913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 2187, while the sum is 31.

The square root of 99913 is about 316.0901770065. The cubic root of 99913 is about 46.4024238230.

99913 divided by its sum of digits (31) gives a palindrome (3223).

The spelling of 99913 in words is "ninety-nine thousand, nine hundred thirteen".