15261 has 4 divisors (see below), whose sum is σ = 20352. Its totient is φ = 10172.

The previous prime is 15259. The next prime is 15263. The reversal of 15261 is 16251.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16251 = 3 ⋅5417.

It is an interprime number because it is at equal distance from previous prime (15259) and next prime (15263).

It is a cyclic number.

It is not a de Polignac number, because 15261 - 2¹ = 15259 is a prime.

It is a D-number.

15261 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 15261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2541 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (5088).

2¹⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

15261 is a deficient number, since it is larger than the sum of its proper divisors (5091).

15261 is an equidigital number, since it uses as much as digits as its factorization.

15261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090.

The product of its digits is 60, while the sum is 15.

The square root of 15261 is about 123.5354200220. The cubic root of 15261 is about 24.8043393378.

Subtracting 15261 from its reverse (16251), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 15 and 261, that added together give a triangular number (276 = T₂₃).

The spelling of 15261 in words is "fifteen thousand, two hundred sixty-one".