27117321 has 32 divisors (see below), whose sum is σ = 45619200. Its totient is φ = 13918080.

The previous prime is 27117317. The next prime is 27117341. The reversal of 27117321 is 12371172.

It is not a de Polignac number, because 27117321 - 2² = 27117317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27117291 and 27117300.

It is not an unprimeable number, because it can be changed into a prime (27117341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19900 + ... + 21218.

It is an arithmetic number, because the mean of its divisors is an integer number (1425600).

Almost surely, 2^27117321 is an apocalyptic number.

27117321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27117321 is a deficient number, since it is larger than the sum of its proper divisors (18501879).

27117321 is a wasteful number, since it uses less digits than its factorization.

27117321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429.

The product of its digits is 588, while the sum is 24.

The square root of 27117321 is about 5207.4294042262. The cubic root of 27117321 is about 300.4338943719.

Adding to 27117321 its reverse (12371172), we get a palindrome (39488493).

The spelling of 27117321 in words is "twenty-seven million, one hundred seventeen thousand, three hundred twenty-one".