263993 has 8 divisors (see below), whose sum is σ = 285768. Its totient is φ = 242944.

The previous prime is 263983. The next prime is 264007. The reversal of 263993 is 399362.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 94249 = 412^2 + 307^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 263993 - 2⁸ = 263737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (35721).

2²⁶³⁹⁹³ is an apocalyptic number.

It is an amenable number.

263993 is a deficient number, since it is larger than the sum of its proper divisors (21775).

263993 is a wasteful number, since it uses less digits than its factorization.

263993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363.

The product of its digits is 8748, while the sum is 32.

The square root of 263993 is about 513.8024912357. The cubic root of 263993 is about 64.1501196065.

It can be divided in two parts, 26399 and 3, that multiplied together give a palindrome (79197).

The spelling of 263993 in words is "two hundred sixty-three thousand, nine hundred ninety-three".