89013 has 4 divisors (see below), whose sum is σ = 118688. Its totient is φ = 59340.

The previous prime is 89009. The next prime is 89017. The reversal of 89013 is 31098.

89013 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (89009) and next prime (89017).

It is not a de Polignac number, because 89013 - 2² = 89009 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89017) 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 3 ways as a sum of consecutive naturals, for example, 14833 + ... + 14838.

It is an arithmetic number, because the mean of its divisors is an integer number (29672).

2⁸⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

89013 is a deficient number, since it is larger than the sum of its proper divisors (29675).

89013 is a wasteful number, since it uses less digits than its factorization.

89013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29674.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 89013 is about 298.3504650575. The cubic root of 89013 is about 44.6496246959.

It can be divided in two parts, 890 and 13, that added together give a triangular number (903 = T₄₂).

The spelling of 89013 in words is "eighty-nine thousand, thirteen".