273609 has 24 divisors (see below), whose sum is σ = 466752. Its totient is φ = 151200.

The previous prime is 273601. The next prime is 273613. The reversal of 273609 is 906372.

It is not a de Polignac number, because 273609 - 2³ = 273601 is a prime.

273609 is a lucky number.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273609.

It is not an unprimeable number, because it can be changed into a prime (273601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2659 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (19448).

2²⁷³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

273609 is a deficient number, since it is larger than the sum of its proper divisors (193143).

273609 is a wasteful number, since it uses less digits than its factorization.

273609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 273609 is about 523.0764762442. The cubic root of 273609 is about 64.9197431551.

The spelling of 273609 in words is "two hundred seventy-three thousand, six hundred nine".