89913 has 16 divisors (see below), whose sum is σ = 133056. Its totient is φ = 53760.

The previous prime is 89909. The next prime is 89917. The reversal of 89913 is 31998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89909) and next prime (89917).

It is not a de Polignac number, because 89913 - 2² = 89909 is a prime.

It is a Curzon number.

89913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (89917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070 + ... + 2112.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁸⁹⁹¹³ is an apocalyptic number.

It is an amenable number.

89913 is a deficient number, since it is larger than the sum of its proper divisors (43143).

89913 is a wasteful number, since it uses less digits than its factorization.

89913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 1944, while the sum is 30.

The square root of 89913 is about 299.8549649414. The cubic root of 89913 is about 44.7996027282.

The spelling of 89913 in words is "eighty-nine thousand, nine hundred thirteen".