27661101 has 16 divisors (see below), whose sum is σ = 40689600. Its totient is φ = 16606080.

The previous prime is 27661069. The next prime is 27661129. The reversal of 27661101 is 10116672.

It is not a de Polignac number, because 27661101 - 2⁵ = 27661069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661141) 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, 7051 + ... + 10248.

It is an arithmetic number, because the mean of its divisors is an integer number (2543100).

Almost surely, 2^27661101 is an apocalyptic number.

It is an amenable number.

27661101 is a deficient number, since it is larger than the sum of its proper divisors (13028499).

27661101 is a wasteful number, since it uses less digits than its factorization.

27661101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17356.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 27661101 is about 5259.3821880521. The cubic root of 27661101 is about 302.4288055026.

Adding to 27661101 its reverse (10116672), we get a palindrome (37777773).

The spelling of 27661101 in words is "twenty-seven million, six hundred sixty-one thousand, one hundred one".