27131617 has 8 divisors (see below), whose sum is σ = 28276200. Its totient is φ = 26001024.

The previous prime is 27131597. The next prime is 27131623. The reversal of 27131617 is 71613172.

It can be written as a sum of positive squares in 4 ways, for example, as 5564881 + 21566736 = 2359^2 + 4644^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 27131617 - 2¹⁵ = 27098849 is a prime.

It is a super-2 number, since 2×27131617² = 1472249282069378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27141617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559 + ... + 7387.

It is an arithmetic number, because the mean of its divisors is an integer number (3534525).

Almost surely, 2^27131617 is an apocalyptic number.

It is an amenable number.

27131617 is a deficient number, since it is larger than the sum of its proper divisors (1144583).

27131617 is a wasteful number, since it uses less digits than its factorization.

27131617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995.

The product of its digits is 1764, while the sum is 28.

The square root of 27131617 is about 5208.8018775914. The cubic root of 27131617 is about 300.4866804173.

Adding to 27131617 its reverse (71613172), we get a palindrome (98744789).

The spelling of 27131617 in words is "twenty-seven million, one hundred thirty-one thousand, six hundred seventeen".