242319 has 16 divisors (see below), whose sum is σ = 403200. Its totient is φ = 125760.

The previous prime is 242309. The next prime is 242329. The reversal of 242319 is 913242.

242319 = 125² + 126² + ... + 138².

It is an interprime number because it is at equal distance from previous prime (242309) and next prime (242329).

It is not a de Polignac number, because 242319 - 2⁹ = 241807 is a prime.

It is a super-2 number, since 2×242319² = 117436995522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 242295 and 242304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242309) 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 in 15 ways as a sum of consecutive naturals, for example, 294 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2²⁴²³¹⁹ is an apocalyptic number.

242319 is a deficient number, since it is larger than the sum of its proper divisors (160881).

242319 is a wasteful number, since it uses less digits than its factorization.

242319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070.

The product of its digits is 432, while the sum is 21.

The square root of 242319 is about 492.2590781286. The cubic root of 242319 is about 62.3441664440.

It can be divided in two parts, 2423 and 19, that added together give a palindrome (2442).

The spelling of 242319 in words is "two hundred forty-two thousand, three hundred nineteen".