8901 has 12 divisors (see below), whose sum is σ = 13728. Its totient is φ = 5544.

The previous prime is 8893. The next prime is 8923. The reversal of 8901 is 1098.

It is not a de Polignac number, because 8901 - 2³ = 8893 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (1144).

2⁸⁹⁰¹ is an apocalyptic number.

It is an amenable number.

8901 is a deficient number, since it is larger than the sum of its proper divisors (4827).

8901 is a wasteful number, since it uses less digits than its factorization.

8901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

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

The square root of 8901 is about 94.3451111611. The cubic root of 8901 is about 20.7242871130.

Adding to 8901 its reverse (1098), we get a palindrome (9999).

It can be divided in two parts, 8 and 901, that added together give a palindrome (909).

The spelling of 8901 in words is "eight thousand, nine hundred one".