268749 has 12 divisors (see below), whose sum is σ = 418236. Its totient is φ = 165312.

The previous prime is 268747. The next prime is 268757. The reversal of 268749 is 947862.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 189225 = 282^2 + 435^2 .

It is not a de Polignac number, because 268749 - 2¹ = 268747 is a prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (34853).

2²⁶⁸⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

268749 is a deficient number, since it is larger than the sum of its proper divisors (149487).

268749 is a wasteful number, since it uses less digits than its factorization.

268749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2313 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 268749 is about 518.4100693467. The cubic root of 268749 is about 64.5330639925.

The spelling of 268749 in words is "two hundred sixty-eight thousand, seven hundred forty-nine".