279321 has 16 divisors (see below), whose sum is σ = 436224. Its totient is φ = 155664.

The previous prime is 279317. The next prime is 279329. The reversal of 279321 is 123972.

It is not a de Polignac number, because 279321 - 2² = 279317 is a prime.

It is a Curzon number.

279321 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 279291 and 279300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 279321.

It is not an unprimeable number, because it can be changed into a prime (279329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (27264).

2²⁷⁹³²¹ is an apocalyptic number.

279321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

279321 is a deficient number, since it is larger than the sum of its proper divisors (156903).

279321 is a wasteful number, since it uses less digits than its factorization.

279321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340.

The product of its digits is 756, while the sum is 24.

The square root of 279321 is about 528.5082780809. The cubic root of 279321 is about 65.3684011609.

It can be divided in two parts, 2793 and 21, that multiplied together give a triangular number (58653 = T₃₄₂).

The spelling of 279321 in words is "two hundred seventy-nine thousand, three hundred twenty-one".