15730 has 24 divisors (see below), whose sum is σ = 33516. Its totient is φ = 5280.

The previous prime is 15727. The next prime is 15731. The reversal of 15730 is 3751.

It can be written as a sum of positive squares in 2 ways, for example, as 14641 + 1089 = 121^2 + 33^2 .

It is an Ulam number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (15731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204 + ... + 1216.

2¹⁵⁷³⁰ is an apocalyptic number.

15730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15730 is an abundant number, since it is smaller than the sum of its proper divisors (17786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758).

15730 is a wasteful number, since it uses less digits than its factorization.

15730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 15730 is about 125.4192967609. The cubic root of 15730 is about 25.0558750262.

Subtracting from 15730 its product of nonzero digits (105), we obtain a 6-th power (15625 = 5⁶).

The spelling of 15730 in words is "fifteen thousand, seven hundred thirty".