268361 has 4 divisors (see below), whose sum is σ = 275652. Its totient is φ = 261072.

The previous prime is 268343. The next prime is 268403. The reversal of 268361 is 163862.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 163862 = 2 ⋅81931.

It can be written as a sum of positive squares in 2 ways, for example, as 219961 + 48400 = 469^2 + 220^2 .

It is not a de Polignac number, because 268361 - 2⁶ = 268297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268361.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268361.

It is not an unprimeable number, because it can be changed into a prime (268661) 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, 3590 + ... + 3663.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2²⁶⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

268361 is a deficient number, since it is larger than the sum of its proper divisors (7291).

268361 is an equidigital number, since it uses as much as digits as its factorization.

268361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290.

The product of its digits is 1728, while the sum is 26.

The square root of 268361 is about 518.0357130546. The cubic root of 268361 is about 64.5019930077.

It can be divided in two parts, 2683 and 61, that added together give a cube (2744 = 14³).

The spelling of 268361 in words is "two hundred sixty-eight thousand, three hundred sixty-one".