15319 has 2 divisors, whose sum is σ = 15320. Its totient is φ = 15318.

The previous prime is 15313. The next prime is 15329. The reversal of 15319 is 91351.

15319 = 48² + 49² + ... + 53².

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 15319 - 2⁵ = 15287 is a prime.

It is a super-2 number, since 2×15319² = 469343522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 15296 and 15305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15313) 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 as a sum of consecutive naturals, namely, 7659 + 7660.

It is an arithmetic number, because the mean of its divisors is an integer number (7660).

2¹⁵³¹⁹ is an apocalyptic number.

15319 is a deficient number, since it is larger than the sum of its proper divisors (1).

15319 is an equidigital number, since it uses as much as digits as its factorization.

15319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 135, while the sum is 19.

The square root of 15319 is about 123.7699478872. The cubic root of 15319 is about 24.8357228856.

It can be divided in two parts, 1531 and 9, that added together give a triangular number (1540 = T₅₅).

The spelling of 15319 in words is "fifteen thousand, three hundred nineteen".