27638261 has 8 divisors (see below), whose sum is σ = 31618560. Its totient is φ = 23665968.

The previous prime is 27638251. The next prime is 27638263. The reversal of 27638261 is 16283672.

It is a happy number.

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 27638261 - 2¹⁸ = 27376117 is a prime.

It is a super-3 number, since 3×27638261³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27638263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11420 + ... + 13626.

It is an arithmetic number, because the mean of its divisors is an integer number (3952320).

Almost surely, 2^27638261 is an apocalyptic number.

It is an amenable number.

27638261 is a deficient number, since it is larger than the sum of its proper divisors (3980299).

27638261 is a wasteful number, since it uses less digits than its factorization.

27638261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003.

The product of its digits is 24192, while the sum is 35.

The square root of 27638261 is about 5257.2103819421. The cubic root of 27638261 is about 302.3455432591.

The spelling of 27638261 in words is "twenty-seven million, six hundred thirty-eight thousand, two hundred sixty-one".