89121 has 8 divisors (see below), whose sum is σ = 121024. Its totient is φ = 58320.

The previous prime is 89119. The next prime is 89123. The reversal of 89121 is 12198.

It is an interprime number because it is at equal distance from previous prime (89119) and next prime (89123).

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

It is not a de Polignac number, because 89121 - 2¹ = 89119 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89123) 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, 61 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (15128).

2⁸⁹¹²¹ is an apocalyptic number.

It is an amenable number.

89121 is a deficient number, since it is larger than the sum of its proper divisors (31903).

89121 is a wasteful number, since it uses less digits than its factorization.

89121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its digits is 144, while the sum is 21.

The square root of 89121 is about 298.5314053831. The cubic root of 89121 is about 44.6676752823.

It can be divided in two parts, 89 and 121, that added together give a triangular number (210 = T₂₀).

The spelling of 89121 in words is "eighty-nine thousand, one hundred twenty-one".