15919 has 2 divisors, whose sum is σ = 15920. Its totient is φ = 15918.

The previous prime is 15913. The next prime is 15923. The reversal of 15919 is 91951.

15919 is nontrivially palindromic in base 4.

It is a strong prime.

It is an emirp because it is prime and its reverse (91951) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 15919 - 2⁵ = 15887 is a prime.

It is a super-2 number, since 2×15919² = 506829122, which contains 22 as substring.

15919 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 15893 and 15902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7959 + 7960.

It is an arithmetic number, because the mean of its divisors is an integer number (7960).

2¹⁵⁹¹⁹ is an apocalyptic number.

15919 is a deficient number, since it is larger than the sum of its proper divisors (1).

15919 is an equidigital number, since it uses as much as digits as its factorization.

15919 is an evil number, because the sum of its binary digits is even.

The product of its digits is 405, while the sum is 25.

The square root of 15919 is about 126.1705195361. The cubic root of 15919 is about 25.1558267035.

It can be divided in two parts, 1591 and 9, that added together give a square (1600 = 40²).

The spelling of 15919 in words is "fifteen thousand, nine hundred nineteen".