12827961 has 12 divisors (see below), whose sum is σ = 18879588. Its totient is φ = 8390304.

The previous prime is 12827953. The next prime is 12827963. The reversal of 12827961 is 16972821.

It can be written as a sum of positive squares in 2 ways, for example, as 10989225 + 1838736 = 3315^2 + 1356^2 .

It is not a de Polignac number, because 12827961 - 2³ = 12827953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12827963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12970 + ... + 13923.

It is an arithmetic number, because the mean of its divisors is an integer number (1573299).

Almost surely, 2^12827961 is an apocalyptic number.

It is an amenable number.

12827961 is a deficient number, since it is larger than the sum of its proper divisors (6051627).

12827961 is a wasteful number, since it uses less digits than its factorization.

12827961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952 (or 26949 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12827961 is about 3581.6143008426. The cubic root of 12827961 is about 234.0916253062.

The spelling of 12827961 in words is "twelve million, eight hundred twenty-seven thousand, nine hundred sixty-one".