90189 has 12 divisors (see below), whose sum is σ = 142272. Its totient is φ = 54600.

The previous prime is 90187. The next prime is 90191. The reversal of 90189 is 98109.

It is an interprime number because it is at equal distance from previous prime (90187) and next prime (90191).

It is not a de Polignac number, because 90189 - 2¹ = 90187 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90187) 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 11 ways as a sum of consecutive naturals, for example, 357 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (11856).

2⁹⁰¹⁸⁹ is an apocalyptic number.

90189 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90189 is a deficient number, since it is larger than the sum of its proper divisors (52083).

90189 is a wasteful number, since it uses less digits than its factorization.

90189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 90189 is about 300.3148347984. The cubic root of 90189 is about 44.8453953655.

It can be divided in two parts, 901 and 89, that added together give a triangular number (990 = T₄₄).

The spelling of 90189 in words is "ninety thousand, one hundred eighty-nine".