89154 has 32 divisors (see below), whose sum is σ = 215040. Its totient is φ = 27216.

The previous prime is 89153. The next prime is 89189. The reversal of 89154 is 45198.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (89153) 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 15 ways as a sum of consecutive naturals, for example, 639 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁸⁹¹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

89154 is an abundant number, since it is smaller than the sum of its proper divisors (125886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89154 is a wasteful number, since it uses less digits than its factorization.

89154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 89154 is about 298.5866708344. The cubic root of 89154 is about 44.6731878303.

Subtracting from 89154 its reverse (45198), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 89 and 154, that added together give a 5-th power (243 = 3⁵).

The spelling of 89154 in words is "eighty-nine thousand, one hundred fifty-four".