12267761 has 16 divisors (see below), whose sum is σ = 14281920. Its totient is φ = 10450240.

The previous prime is 12267743. The next prime is 12267779. The reversal of 12267761 is 16776221.

It is an interprime number because it is at equal distance from previous prime (12267743) and next prime (12267779).

It is a de Polignac number, because none of the positive numbers 2^k-12267761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12267701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53930 + ... + 54156.

It is an arithmetic number, because the mean of its divisors is an integer number (892620).

Almost surely, 2^12267761 is an apocalyptic number.

12267761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12267761 is a deficient number, since it is larger than the sum of its proper divisors (2014159).

12267761 is an equidigital number, since it uses as much as digits as its factorization.

12267761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 255 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 12267761 is about 3502.5363666920. The cubic root of 12267761 is about 230.6331702709.

The spelling of 12267761 in words is "twelve million, two hundred sixty-seven thousand, seven hundred sixty-one".