15201 has 8 divisors (see below), whose sum is σ = 22560. Its totient is φ = 10116.

The previous prime is 15199. The next prime is 15217. The reversal of 15201 is 10251.

It is a happy number.

It is not a de Polignac number, because 15201 - 2¹ = 15199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15201.

It is not an unprimeable number, because it can be changed into a prime (15241) 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, 255 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (2820).

2¹⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

15201 is a deficient number, since it is larger than the sum of its proper divisors (7359).

15201 is an equidigital number, since it uses as much as digits as its factorization.

15201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 15201 is about 123.2923355282. The cubic root of 15201 is about 24.7717898098.

Adding to 15201 its reverse (10251), we get a palindrome (25452).

Subtracting from 15201 its reverse (10251), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 1520 and 1, that added together give a square (1521 = 39²).

The spelling of 15201 in words is "fifteen thousand, two hundred one".