89001 has 24 divisors (see below), whose sum is σ = 149760. Its totient is φ = 50400.

The previous prime is 88997. The next prime is 89003. The reversal of 89001 is 10098.

It is not a de Polignac number, because 89001 - 2² = 88997 is a prime.

89001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (89003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁸⁹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

89001 is a deficient number, since it is larger than the sum of its proper divisors (60759).

89001 is a wasteful number, since it uses less digits than its factorization.

89001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 89001 is about 298.3303538026. The cubic root of 89001 is about 44.6476181741.

Adding to 89001 its reverse (10098), we get a palindrome (99099).

It can be divided in two parts, 8 and 9001, that added together give a palindrome (9009).

The spelling of 89001 in words is "eighty-nine thousand, one".