84319 has 2 divisors, whose sum is σ = 84320. Its totient is φ = 84318.

The previous prime is 84317. The next prime is 84347. The reversal of 84319 is 91348.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 84319 - 2¹ = 84317 is a prime.

It is a super-2 number, since 2×84319² = 14219387522, which contains 22 as substring.

Together with 84317, it forms a pair of twin primes.

84319 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 84293 and 84302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42159 + 42160.

It is an arithmetic number, because the mean of its divisors is an integer number (42160).

2⁸⁴³¹⁹ is an apocalyptic number.

84319 is a deficient number, since it is larger than the sum of its proper divisors (1).

84319 is an equidigital number, since it uses as much as digits as its factorization.

84319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 25.

The square root of 84319 is about 290.3773407138. The cubic root of 84319 is about 43.8505605187.

It can be divided in two parts, 84 and 319, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 84319 in words is "eighty-four thousand, three hundred nineteen".