268353 has 10 divisors (see below), whose sum is σ = 400994. Its totient is φ = 178848.

The previous prime is 268343. The next prime is 268403. The reversal of 268353 is 353862.

268353 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 263169 + 5184 = 513^2 + 72^2 .

It is not a de Polignac number, because 268353 - 2¹⁴ = 251969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268343) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1576 + ... + 1737.

2²⁶⁸³⁵³ is an apocalyptic number.

It is an amenable number.

268353 is a deficient number, since it is larger than the sum of its proper divisors (132641).

268353 is an equidigital number, since it uses as much as digits as its factorization.

268353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3316 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 268353 is about 518.0279915217. The cubic root of 268353 is about 64.5013520539.

The spelling of 268353 in words is "two hundred sixty-eight thousand, three hundred fifty-three".