263349 has 12 divisors (see below), whose sum is σ = 393900. Its totient is φ = 169344.

The previous prime is 263323. The next prime is 263369. The reversal of 263349 is 943362.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 154449 = 330^2 + 393^2 .

It is not a de Polignac number, because 263349 - 2¹¹ = 261301 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2³ + 6³ + 3⁵ + 3⁶ + 4⁹ + 9 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (32825).

2²⁶³³⁴⁹ is an apocalyptic number.

263349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

263349 is a deficient number, since it is larger than the sum of its proper divisors (130551).

263349 is a wasteful number, since it uses less digits than its factorization.

263349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1041 counting only the distinct ones).

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

The square root of 263349 is about 513.1754086080. The cubic root of 263349 is about 64.0979132776.

It can be divided in two parts, 26 and 3349, that added together give a cube (3375 = 15³).

The spelling of 263349 in words is "two hundred sixty-three thousand, three hundred forty-nine".