27713642 has 32 divisors (see below), whose sum is σ = 46764864. Its totient is φ = 12211200.

The previous prime is 27713641. The next prime is 27713669. The reversal of 27713642 is 24631772.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 27713599 and 27713608.

It is not an unprimeable number, because it can be changed into a prime (27713641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143498 + ... + 143690.

It is an arithmetic number, because the mean of its divisors is an integer number (1461402).

Almost surely, 2^27713642 is an apocalyptic number.

27713642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27713642 is a deficient number, since it is larger than the sum of its proper divisors (19051222).

27713642 is a wasteful number, since it uses less digits than its factorization.

27713642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374.

The product of its digits is 14112, while the sum is 32.

The square root of 27713642 is about 5264.3747966876. The cubic root of 27713642 is about 302.6201676342.

The spelling of 27713642 in words is "twenty-seven million, seven hundred thirteen thousand, six hundred forty-two".