15741 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 9360.

The previous prime is 15739. The next prime is 15749. The reversal of 15741 is 14751.

It is not a de Polignac number, because 15741 - 2¹ = 15739 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2¹⁵⁷⁴¹ is an apocalyptic number.

15741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15741 is a deficient number, since it is larger than the sum of its proper divisors (10179).

15741 is a wasteful number, since it uses less digits than its factorization.

15741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 15741 is about 125.4631419980. The cubic root of 15741 is about 25.0617141956.

Subtracting from 15741 its reverse (14751), we obtain a triangular number (990 = T₄₄).

The spelling of 15741 in words is "fifteen thousand, seven hundred forty-one".