273364 has 24 divisors (see below), whose sum is σ = 589568. Its totient is φ = 108000.

The previous prime is 273359. The next prime is 273367. The reversal of 273364 is 463372.

273364 = T₁₄ + T₁₅ + ... + T₁₁₇.

273364 = 95² + 96² + ... + 118².

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273367) 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, 12 + ... + 739.

2²⁷³³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294784).

273364 is an abundant number, since it is smaller than the sum of its proper divisors (316204).

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

273364 is a wasteful number, since it uses less digits than its factorization.

273364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its digits is 3024, while the sum is 25.

The square root of 273364 is about 522.8422324182. The cubic root of 273364 is about 64.9003601586.

The spelling of 273364 in words is "two hundred seventy-three thousand, three hundred sixty-four".