27164961 has 6 divisors (see below), whose sum is σ = 39238290. Its totient is φ = 18109968.

The previous prime is 27164953. The next prime is 27164971. The reversal of 27164961 is 16946172.

27164961 is a `hidden beast` number, since 2 + 7 + 1 + 649 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23040000 + 4124961 = 4800^2 + 2031^2 .

It is not a de Polignac number, because 27164961 - 2³ = 27164953 is a prime.

It is a super-2 number, since 2×27164961² = 1475870212263042, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27164941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1509156 + ... + 1509173.

It is an arithmetic number, because the mean of its divisors is an integer number (6539715).

Almost surely, 2^27164961 is an apocalyptic number.

It is an amenable number.

27164961 is a deficient number, since it is larger than the sum of its proper divisors (12073329).

27164961 is a wasteful number, since it uses less digits than its factorization.

27164961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018335 (or 3018332 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27164961 is about 5212.0016308516. The cubic root of 27164961 is about 300.6097266053.

The spelling of 27164961 in words is "twenty-seven million, one hundred sixty-four thousand, nine hundred sixty-one".