27007306921 has 27 divisors (see below), whose sum is σ = 33397593957. Its totient is φ = 21771630720.

The previous prime is 27007306913. The next prime is 27007306993. The reversal of 27007306921 is 12960370072.

The square root of 27007306921 is 164339.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1651203225 + 25356103696 = 40635^2 + 159236^2 .

It is not a de Polignac number, because 27007306921 - 2³ = 27007306913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27007306121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19555651 + ... + 19557031.

Almost surely, 2^27007306921 is an apocalyptic number.

27007306921 is the 164339-th square number.

27007306921 is the 82170-th centered octagonal number.

It is an amenable number.

27007306921 is a deficient number, since it is larger than the sum of its proper divisors (6390287036).

27007306921 is an frugal number, since it uses more digits than its factorization.

27007306921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

Adding to 27007306921 its reverse (12960370072), we get a palindrome (39967676993).

The spelling of 27007306921 in words is "twenty-seven billion, seven million, three hundred six thousand, nine hundred twenty-one".