15877 has 2 divisors, whose sum is σ = 15878. Its totient is φ = 15876.

The previous prime is 15859. The next prime is 15881. The reversal of 15877 is 77851.

It is a happy number.

15877 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 126²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 1 = 126^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 15877 - 2⁷ = 15749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15817) by changing a digit.

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 as a sum of consecutive naturals, namely, 7938 + 7939.

It is an arithmetic number, because the mean of its divisors is an integer number (7939).

2¹⁵⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

15877 is a deficient number, since it is larger than the sum of its proper divisors (1).

15877 is an equidigital number, since it uses as much as digits as its factorization.

15877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1960, while the sum is 28.

The square root of 15877 is about 126.0039681915. The cubic root of 15877 is about 25.1336838707.

The spelling of 15877 in words is "fifteen thousand, eight hundred seventy-seven".