279993 has 16 divisors (see below), whose sum is σ = 435200. Its totient is φ = 156816.

The previous prime is 279991. The next prime is 280001. The reversal of 279993 is 399972.

It is not a de Polignac number, because 279993 - 2¹ = 279991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (279991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (27200).

2²⁷⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

279993 is a deficient number, since it is larger than the sum of its proper divisors (155207).

279993 is a wasteful number, since it uses less digits than its factorization.

279993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its digits is 30618, while the sum is 39.

The square root of 279993 is about 529.1436477933. The cubic root of 279993 is about 65.4207810215.

The spelling of 279993 in words is "two hundred seventy-nine thousand, nine hundred ninety-three".