12467961 has 27 divisors (see below), whose sum is σ = 19982053. Its totient is φ = 7485720.

The previous prime is 12467951. The next prime is 12467969. The reversal of 12467961 is 16976421.

The square root of 12467961 is 3531.

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

It is not a de Polignac number, because 12467961 - 2¹⁵ = 12435193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12467969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116470 + ... + 116576.

Almost surely, 2^12467961 is an apocalyptic number.

12467961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12467961 is the 3531-st square number.

12467961 is the 1766-th centered octagonal number.

It is an amenable number.

12467961 is a deficient number, since it is larger than the sum of its proper divisors (7514092).

12467961 is a wasteful number, since it uses less digits than its factorization.

12467961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

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

The cubic root of 12467961 is about 231.8809895455.

Multiplying 12467961 by its sum of digits (36), we get a square (448846596 = 21186²).

The spelling of 12467961 in words is "twelve million, four hundred sixty-seven thousand, nine hundred sixty-one".