273985 has 8 divisors (see below), whose sum is σ = 337896. Its totient is φ = 213120.

The previous prime is 273979. The next prime is 273997. The reversal of 273985 is 589372.

273985 = 161² + 162² + ... + 170².

It can be written as a sum of positive squares in 4 ways, for example, as 66049 + 207936 = 257^2 + 456^2 .

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

It is not a de Polignac number, because 273985 - 2⁷ = 273857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 273985.

It is an unprimeable number.

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, 556 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (42237).

2²⁷³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

273985 is a deficient number, since it is larger than the sum of its proper divisors (63911).

273985 is a wasteful number, since it uses less digits than its factorization.

273985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523.

The product of its digits is 15120, while the sum is 34.

The square root of 273985 is about 523.4357649225. The cubic root of 273985 is about 64.9494676286.

The spelling of 273985 in words is "two hundred seventy-three thousand, nine hundred eighty-five".