15801 has 8 divisors (see below), whose sum is σ = 22080. Its totient is φ = 10032.

The previous prime is 15797. The next prime is 15803. The reversal of 15801 is 10851.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 15801 - 2² = 15797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (2760).

2¹⁵⁸⁰¹ is an apocalyptic number.

15801 is the 80-th centered pentagonal number.

It is an amenable number.

15801 is a deficient number, since it is larger than the sum of its proper divisors (6279).

15801 is a wasteful number, since it uses less digits than its factorization.

15801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 15801 is about 125.7020286232. The cubic root of 15801 is about 25.0935164177.

Subtracting from 15801 its reverse (10851), we obtain a triangular number (4950 = T₉₉).

The spelling of 15801 in words is "fifteen thousand, eight hundred one".