273393 has 12 divisors (see below), whose sum is σ = 406068. Its totient is φ = 177120.

The previous prime is 273367. The next prime is 273433. The reversal of 273393 is 393372.

273393 is a `hidden beast` number, since 273 + 393 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 106929 = 408^2 + 327^2 .

It is not a de Polignac number, because 273393 - 2¹⁰ = 272369 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 an Ulam number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (273313) 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, 78 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (33839).

2²⁷³³⁹³ is an apocalyptic number.

It is an amenable number.

273393 is a deficient number, since it is larger than the sum of its proper divisors (132675).

273393 is a wasteful number, since it uses less digits than its factorization.

273393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 861 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 273393 is about 522.8699647140. The cubic root of 273393 is about 64.9026550766.

It can be divided in two parts, 273 and 393, that added together give a palindrome (666).

The spelling of 273393 in words is "two hundred seventy-three thousand, three hundred ninety-three".