15505 has 8 divisors (see below), whose sum is σ = 21312. Its totient is φ = 10608.

The previous prime is 15497. The next prime is 15511. The reversal of 15505 is 50551.

15505 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 15505 - 2³ = 15497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (2664).

2¹⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

15505 is a deficient number, since it is larger than the sum of its proper divisors (5807).

15505 is an equidigital number, since it uses as much as digits as its factorization.

15505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 15505 is about 124.5190748440. The cubic root of 15505 is about 24.9358354573.

It can be divided in two parts, 1550 and 5, that multiplied together give a triangular number (7750 = T₁₂₄).

The spelling of 15505 in words is "fifteen thousand, five hundred five".