15761 has 2 divisors, whose sum is σ = 15762. Its totient is φ = 15760.

The previous prime is 15749. The next prime is 15767. The reversal of 15761 is 16751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14161 + 1600 = 119^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 15761 - 2¹⁰ = 14737 is a prime.

It is a Chen prime.

It is equal to p₁₈₃₈ and since 15761 and 1838 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7880 + 7881.

It is an arithmetic number, because the mean of its divisors is an integer number (7881).

2¹⁵⁷⁶¹ is an apocalyptic number.

It is an amenable number.

15761 is a deficient number, since it is larger than the sum of its proper divisors (1).

15761 is an equidigital number, since it uses as much as digits as its factorization.

15761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 210, while the sum is 20.

The square root of 15761 is about 125.5428213798. The cubic root of 15761 is about 25.0723239017.

Subtracting from 15761 its product of digits (210), we obtain a palindrome (15551).

Subtracting 15761 from its reverse (16751), we obtain a triangular number (990 = T₄₄).

The spelling of 15761 in words is "fifteen thousand, seven hundred sixty-one".