27985407 has 8 divisors (see below), whose sum is σ = 37552176. Its totient is φ = 18537792.

The previous prime is 27985393. The next prime is 27985421. The reversal of 27985407 is 70458972.

It is an interprime number because it is at equal distance from previous prime (27985393) and next prime (27985421).

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

It is not a de Polignac number, because 27985407 - 2⁸ = 27985151 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27985807) 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, 29238 + ... + 30179.

It is an arithmetic number, because the mean of its divisors is an integer number (4694022).

Almost surely, 2^27985407 is an apocalyptic number.

27985407 is a deficient number, since it is larger than the sum of its proper divisors (9566769).

27985407 is a wasteful number, since it uses less digits than its factorization.

27985407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59577.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 27985407 is about 5290.1235335293. The cubic root of 27985407 is about 303.6061345168.

The spelling of 27985407 in words is "twenty-seven million, nine hundred eighty-five thousand, four hundred seven".