54319 has 2 divisors, whose sum is σ = 54320. Its totient is φ = 54318.

The previous prime is 54311. The next prime is 54323. The reversal of 54319 is 91345.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 54319 - 2³ = 54311 is a prime.

It is a super-2 number, since 2×54319² = 5901107522, which contains 22 as substring.

54319 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 54319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54311) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27159 + 27160.

It is an arithmetic number, because the mean of its divisors is an integer number (27160).

2⁵⁴³¹⁹ is an apocalyptic number.

54319 is a deficient number, since it is larger than the sum of its proper divisors (1).

54319 is an equidigital number, since it uses as much as digits as its factorization.

54319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 54319 is about 233.0643687911. The cubic root of 54319 is about 37.8719140852.

It can be divided in two parts, 54 and 319, that added together give a palindrome (373).

The spelling of 54319 in words is "fifty-four thousand, three hundred nineteen".