42819 has 8 divisors (see below), whose sum is σ = 65280. Its totient is φ = 24456.

The previous prime is 42797. The next prime is 42821. The reversal of 42819 is 91824.

42819 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42819 - 2⁵ = 42787 is a prime.

It is a super-2 number, since 2×42819² = 3666933522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42819.

It is not an unprimeable number, because it can be changed into a prime (42829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (8160).

2⁴²⁸¹⁹ is an apocalyptic number.

42819 is a deficient number, since it is larger than the sum of its proper divisors (22461).

42819 is a wasteful number, since it uses less digits than its factorization.

42819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049.

The product of its digits is 576, while the sum is 24.

The square root of 42819 is about 206.9275235439. The cubic root of 42819 is about 34.9847552657.

It can be divided in two parts, 42 and 819, that added together give a triangular number (861 = T₄₁).

The spelling of 42819 in words is "forty-two thousand, eight hundred nineteen".