27417013 has 8 divisors (see below), whose sum is σ = 29623608. Its totient is φ = 25224384.

The previous prime is 27417011. The next prime is 27417023. The reversal of 27417013 is 31071472.

27417013 = 3702² + 3703².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3972049 + 23444964 = 1993^2 + 4842^2 .

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 27417013 - 2¹ = 27417011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27417011) 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 7 ways as a sum of consecutive naturals, for example, 795 + ... + 7447.

It is an arithmetic number, because the mean of its divisors is an integer number (3702951).

Almost surely, 2^27417013 is an apocalyptic number.

27417013 is the 3703-rd centered square number.

It is an amenable number.

27417013 is a deficient number, since it is larger than the sum of its proper divisors (2206595).

27417013 is a wasteful number, since it uses less digits than its factorization.

27417013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 27417013 is about 5236.1257624316. The cubic root of 27417013 is about 301.5366086015.

Adding to 27417013 its reverse (31071472), we get a palindrome (58488485).

The spelling of 27417013 in words is "twenty-seven million, four hundred seventeen thousand, thirteen".