264714 has 8 divisors (see below), whose sum is σ = 529440. Its totient is φ = 88236.

The previous prime is 264697. The next prime is 264731. The reversal of 264714 is 417462.

It is an interprime number because it is at equal distance from previous prime (264697) and next prime (264731).

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

264714 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2¹¹ + 6³ + 7² + 4⁴ + 1 + 4⁹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22054 + ... + 22065.

It is an arithmetic number, because the mean of its divisors is an integer number (66180).

2²⁶⁴⁷¹⁴ is an apocalyptic number.

264714 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

264714 is a wasteful number, since it uses less digits than its factorization.

264714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124.

The product of its digits is 1344, while the sum is 24.

The square root of 264714 is about 514.5036443020. The cubic root of 264714 is about 64.2084673569.

The spelling of 264714 in words is "two hundred sixty-four thousand, seven hundred fourteen".