268821 has 24 divisors (see below), whose sum is σ = 471744. Its totient is φ = 144000.

The previous prime is 268819. The next prime is 268823. The reversal of 268821 is 128862.

It is an interprime number because it is at equal distance from previous prime (268819) and next prime (268823).

It is not a de Polignac number, because 268821 - 2¹ = 268819 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268821.

It is not an unprimeable number, because it can be changed into a prime (268823) 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 23 ways as a sum of consecutive naturals, for example, 946 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2²⁶⁸⁸²¹ is an apocalyptic number.

268821 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

268821 is a deficient number, since it is larger than the sum of its proper divisors (202923).

268821 is a wasteful number, since it uses less digits than its factorization.

268821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 278 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 268821 is about 518.4795077918. The cubic root of 268821 is about 64.5388264521.

It can be divided in two parts, 268 and 821, that added together give a square (1089 = 33²).

The spelling of 268821 in words is "two hundred sixty-eight thousand, eight hundred twenty-one".