264393 has 12 divisors (see below), whose sum is σ = 395460. Its totient is φ = 170016.

The previous prime is 264391. The next prime is 264403. The reversal of 264393 is 393462.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 219024 = 213^2 + 468^2 .

It is not a de Polignac number, because 264393 - 2¹ = 264391 is a prime.

It is a d-powerful number, because it can be written as 2³ + 6² + 3² + 4⁹ + 9 + 3⁷ .

264393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (264391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (32955).

264393 is a Friedman number, since it can be written as 9+34*6^(3+2), using all its digits and the basic arithmetic operations.

2²⁶⁴³⁹³ is an apocalyptic number.

It is an amenable number.

264393 is a deficient number, since it is larger than the sum of its proper divisors (131067).

264393 is a wasteful number, since it uses less digits than its factorization.

264393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1045 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 264393 is about 514.1915985311. The cubic root of 264393 is about 64.1825031656.

The spelling of 264393 in words is "two hundred sixty-four thousand, three hundred ninety-three".