89113 has 2 divisors, whose sum is σ = 89114. Its totient is φ = 89112.

The previous prime is 89107. The next prime is 89119. The reversal of 89113 is 31198.

It is a balanced prime because it is at equal distance from previous prime (89107) and next prime (89119).

It can be written as a sum of positive squares in only one way, i.e., 73984 + 15129 = 272^2 + 123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-89113 is a prime.

It is a super-2 number, since 2×89113² = 15882253538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (89119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44556 + 44557.

It is an arithmetic number, because the mean of its divisors is an integer number (44557).

2⁸⁹¹¹³ is an apocalyptic number.

It is an amenable number.

89113 is a deficient number, since it is larger than the sum of its proper divisors (1).

89113 is an equidigital number, since it uses as much as digits as its factorization.

89113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 22.

The square root of 89113 is about 298.5180061571. The cubic root of 89113 is about 44.6663387021. Note that the first 3 decimals are identical.

It can be divided in two parts, 89 and 113, that added together give a palindrome (202).

The spelling of 89113 in words is "eighty-nine thousand, one hundred thirteen".