89901 has 12 divisors (see below), whose sum is σ = 148512. Its totient is φ = 51336.

The previous prime is 89899. The next prime is 89909. The reversal of 89901 is 10998.

It is not a de Polignac number, because 89901 - 2¹ = 89899 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

89901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2⁸⁹⁹⁰¹ is an apocalyptic number.

It is an amenable number.

89901 is a deficient number, since it is larger than the sum of its proper divisors (58611).

89901 is a wasteful number, since it uses less digits than its factorization.

89901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1437 counting only the distinct ones).

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

The square root of 89901 is about 299.8349546000. The cubic root of 89901 is about 44.7976096195.

Subtracting from 89901 its product of nonzero digits (648), we obtain a triangular number (89253 = T₄₂₂).

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

The spelling of 89901 in words is "eighty-nine thousand, nine hundred one".