268753 has 4 divisors (see below), whose sum is σ = 284580. Its totient is φ = 252928.

The previous prime is 268747. The next prime is 268757. The reversal of 268753 is 357862.

268753 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 357862 = 2 ⋅178931.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 173889 = 308^2 + 417^2 .

It is a cyclic number.

It is not a de Polignac number, because 268753 - 2⁵ = 268721 is a prime.

It is a Smith number, since the sum of its digits (31) 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 2¹⁷ + 6³ + 7⁶ + 8 + 5³ + 3⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268757) 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, 7888 + ... + 7921.

It is an arithmetic number, because the mean of its divisors is an integer number (71145).

268753 is a Friedman number, since it can be written as 86*5^(7-2)+3, using all its digits and the basic arithmetic operations.

2²⁶⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

268753 is a deficient number, since it is larger than the sum of its proper divisors (15827).

268753 is a wasteful number, since it uses less digits than its factorization.

268753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826.

The product of its digits is 10080, while the sum is 31.

The square root of 268753 is about 518.4139272821. The cubic root of 268753 is about 64.5333841561.

The spelling of 268753 in words is "two hundred sixty-eight thousand, seven hundred fifty-three".