10279 has 4 divisors (see below), whose sum is σ = 10840. Its totient is φ = 9720.

The previous prime is 10273. The next prime is 10289. The reversal of 10279 is 97201.

10279 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 97201 = 13 ⋅7477.

It is a cyclic number.

It is not a de Polignac number, because 10279 - 2³ = 10271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 541 = 10279 / (1 + 0 + 2 + 7 + 9).

It is a Duffinian number.

It is the 19-th primeval number, because it sets a new record (60) in the number of distinct primes that is it possible to write using its digits.

10279 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (2710).

2¹⁰²⁷⁹ is an apocalyptic number.

10279 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10279 is a deficient number, since it is larger than the sum of its proper divisors (561).

10279 is an equidigital number, since it uses as much as digits as its factorization.

10279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10279 is about 101.3854032886. The cubic root of 10279 is about 21.7428743117.

Subtracting from 10279 its product of nonzero digits (126), we obtain a triangular number (10153 = T₁₄₂).

It can be divided in two parts, 102 and 79, that added together give a palindrome (181).

The spelling of 10279 in words is "ten thousand, two hundred seventy-nine".