89845 has 16 divisors (see below), whose sum is σ = 131328. Its totient is φ = 57600.

The previous prime is 89839. The next prime is 89849. The reversal of 89845 is 54898.

89845 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 89845 - 2¹¹ = 87797 is a prime.

It is a Duffinian number.

Its product of digits (11520) is a multiple of the sum of its prime divisors (180).

89845 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 89845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁸⁹⁸⁴⁵ is an apocalyptic number.

89845 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

89845 is a deficient number, since it is larger than the sum of its proper divisors (41483).

89845 is a wasteful number, since it uses less digits than its factorization.

89845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its digits is 11520, while the sum is 34.

The square root of 89845 is about 299.7415553439. The cubic root of 89845 is about 44.7883060997.

The spelling of 89845 in words is "eighty-nine thousand, eight hundred forty-five".