333268 has 36 divisors (see below), whose sum is σ = 691740. Its totient is φ = 139776.

The previous prime is 333253. The next prime is 333269. The reversal of 333268 is 862333.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 315844 = 132^2 + 562^2 .

It is a super-2 number, since 2×333268² = 222135119648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333269) by changing a digit.

333268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11478 + ... + 11506.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2³³³²⁶⁸ is an apocalyptic number.

It is an amenable number.

333268 is an abundant number, since it is smaller than the sum of its proper divisors (358472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333268 is a wasteful number, since it uses less digits than its factorization.

333268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 333268 is about 577.2936860905. The cubic root of 333268 is about 69.3315971787.

It can be divided in two parts, 3332 and 68, that multiplied together give a square (226576 = 476²).

The spelling of 333268 in words is "three hundred thirty-three thousand, two hundred sixty-eight".