15081 has 8 divisors (see below), whose sum is σ = 21984. Its totient is φ = 9120.

The previous prime is 15077. The next prime is 15083. The reversal of 15081 is 18051.

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 15081 - 2² = 15077 is a prime.

It is a super-2 number, since 2×15081² = 454873122, which contains 22 as substring.

15081 is a modest number, since divided by 81 gives 15 as remainder.

15081 is a lucky number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 15081.

It is not an unprimeable number, because it can be changed into a prime (15083) 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, 196 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (2748).

2¹⁵⁰⁸¹ is an apocalyptic number.

15081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15081 is the 66-th nonagonal number.

It is an amenable number.

15081 is a deficient number, since it is larger than the sum of its proper divisors (6903).

15081 is a wasteful number, since it uses less digits than its factorization.

15081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

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

The square root of 15081 is about 122.8047230362. The cubic root of 15081 is about 24.7064328942.

It can be divided in two parts, 150 and 81, that added together give a triangular number (231 = T₂₁).

The spelling of 15081 in words is "fifteen thousand, eighty-one".