273633 has 8 divisors (see below), whose sum is σ = 367488. Its totient is φ = 181104.

The previous prime is 273629. The next prime is 273641. The reversal of 273633 is 336372.

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

It is not a de Polignac number, because 273633 - 2² = 273629 is a prime.

273633 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273633.

It is not an unprimeable number, because it can be changed into a prime (273613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (45936).

2²⁷³⁶³³ is an apocalyptic number.

It is an amenable number.

273633 is a deficient number, since it is larger than the sum of its proper divisors (93855).

273633 is a wasteful number, since it uses less digits than its factorization.

273633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663.

The product of its digits is 2268, while the sum is 24.

The square root of 273633 is about 523.0994169372. The cubic root of 273633 is about 64.9216412752.

The spelling of 273633 in words is "two hundred seventy-three thousand, six hundred thirty-three".