27642713 has 20 divisors (see below), whose sum is σ = 33443940. Its totient is φ = 22819104.

The previous prime is 27642707. The next prime is 27642743. The reversal of 27642713 is 31724672.

It can be written as a sum of positive squares in 2 ways, for example, as 16540489 + 11102224 = 4067^2 + 3332^2 .

It is not a de Polignac number, because 27642713 - 2⁶ = 27642649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27642713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27642743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69431 + ... + 69827.

It is an arithmetic number, because the mean of its divisors is an integer number (1672197).

Almost surely, 2^27642713 is an apocalyptic number.

It is an amenable number.

27642713 is a deficient number, since it is larger than the sum of its proper divisors (5801227).

27642713 is an frugal number, since it uses more digits than its factorization.

27642713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

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

The square root of 27642713 is about 5257.6337833668. The cubic root of 27642713 is about 302.3617764330.

The spelling of 27642713 in words is "twenty-seven million, six hundred forty-two thousand, seven hundred thirteen".