15461 has 2 divisors, whose sum is σ = 15462. Its totient is φ = 15460.

The previous prime is 15451. The next prime is 15467. The reversal of 15461 is 16451.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11236 + 4225 = 106^2 + 65^2 .

It is an emirp because it is prime and its reverse (16451) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 15461 - 2¹⁰ = 14437 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 5.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7730 + 7731.

It is an arithmetic number, because the mean of its divisors is an integer number (7731).

2¹⁵⁴⁶¹ is an apocalyptic number.

It is an amenable number.

15461 is a deficient number, since it is larger than the sum of its proper divisors (1).

15461 is an equidigital number, since it uses as much as digits as its factorization.

15461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 17.

The square root of 15461 is about 124.3422695627. The cubic root of 15461 is about 24.9122255196.

Subtracting 15461 from its reverse (16451), we obtain a triangular number (990 = T₄₄).

The spelling of 15461 in words is "fifteen thousand, four hundred sixty-one".