279973 has 8 divisors (see below), whose sum is σ = 304128. Its totient is φ = 256704.

The previous prime is 279967. The next prime is 279977. The reversal of 279973 is 379972.

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

It is a cyclic number.

It is not a de Polignac number, because 279973 - 2⁵ = 279941 is a prime.

It is a Duffinian number.

279973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279977) 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, 540 + ... + 922.

It is an arithmetic number, because the mean of its divisors is an integer number (38016).

2²⁷⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

279973 is a deficient number, since it is larger than the sum of its proper divisors (24155).

279973 is a wasteful number, since it uses less digits than its factorization.

279973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443.

The product of its digits is 23814, while the sum is 37.

The square root of 279973 is about 529.1247489959. The cubic root of 279973 is about 65.4192233078.

Subtracting from 279973 its sum of digits (37), we obtain a 7-th power (279936 = 6⁷).

Subtracting 279973 from its reverse (379972), we obtain a palindrome (99999).

It can be divided in two parts, 27 and 9973, that added together give a 4-th power (10000 = 10⁴).

The spelling of 279973 in words is "two hundred seventy-nine thousand, nine hundred seventy-three".