264979 has 16 divisors (see below), whose sum is σ = 332640. Its totient is φ = 207360.

The previous prime is 264977. The next prime is 264991. The reversal of 264979 is 979462.

It is a cyclic number.

It is not a de Polignac number, because 264979 - 2¹ = 264977 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 6³ + 9 + 4⁹ + 7⁴ + 9² .

264979 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (264977) 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, 2377 + ... + 2485.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2²⁶⁴⁹⁷⁹ is an apocalyptic number.

264979 is a deficient number, since it is larger than the sum of its proper divisors (67661).

264979 is a wasteful number, since it uses less digits than its factorization.

264979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150.

The product of its digits is 27216, while the sum is 37.

The square root of 264979 is about 514.7611096421. The cubic root of 264979 is about 64.2298861575.

It can be divided in two parts, 26 and 4979, that added together give a palindrome (5005).

The spelling of 264979 in words is "two hundred sixty-four thousand, nine hundred seventy-nine".