272833 has 8 divisors (see below), whose sum is σ = 315360. Its totient is φ = 233280.

The previous prime is 272813. The next prime is 272863. The reversal of 272833 is 338272.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 272833 - 2¹⁷ = 141761 is a prime.

It is a d-powerful number, because it can be written as 2⁴ + 7 + 8⁴ + 2¹⁸ + 3² + 3⁸ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272798 and 272807.

It is not an unprimeable number, because it can be changed into a prime (272813) 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 7 ways as a sum of consecutive naturals, for example, 543 + ... + 916.

It is an arithmetic number, because the mean of its divisors is an integer number (39420).

2²⁷²⁸³³ is an apocalyptic number.

It is an amenable number.

272833 is a deficient number, since it is larger than the sum of its proper divisors (42527).

272833 is a wasteful number, since it uses less digits than its factorization.

272833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487.

The product of its digits is 2016, while the sum is 25.

The square root of 272833 is about 522.3341842154. The cubic root of 272833 is about 64.8583106944.

It can be divided in two parts, 272 and 833, that multiplied together give a square (226576 = 476²).

The spelling of 272833 in words is "two hundred seventy-two thousand, eight hundred thirty-three".