279642 has 32 divisors (see below), whose sum is σ = 645120. Its totient is φ = 79920.

The previous prime is 279641. The next prime is 279649. The reversal of 279642 is 246972.

It is a happy number.

It is a d-powerful number, because it can be written as 2⁷ + 7⁴ + 6³ + 9⁴ + 4⁹ + 2¹³ .

It is a plaindrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (279641) 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, 1143 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

279642 is a Friedman number, since it can be written as 6^(9-2)-42*7, using all its digits and the basic arithmetic operations.

2²⁷⁹⁶⁴² is an apocalyptic number.

279642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 279642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

279642 is an abundant number, since it is smaller than the sum of its proper divisors (365478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

279642 is a wasteful number, since it uses less digits than its factorization.

279642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 6048, while the sum is 30.

The square root of 279642 is about 528.8118758122. The cubic root of 279642 is about 65.3934323661.

It can be divided in two parts, 27964 and 2, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 279642 in words is "two hundred seventy-nine thousand, six hundred forty-two".