12204761 has 2 divisors, whose sum is σ = 12204762. Its totient is φ = 12204760.

The previous prime is 12204727. The next prime is 12204763. The reversal of 12204761 is 16740221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12145225 + 59536 = 3485^2 + 244^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12204761 is a prime.

It is a super-3 number, since 3×12204761³ (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 12204763, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p₈₀₀₅₇₃ and since 12204761 and 800573 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (12204763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6102380 + 6102381.

It is an arithmetic number, because the mean of its divisors is an integer number (6102381).

Almost surely, 2^12204761 is an apocalyptic number.

It is an amenable number.

12204761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12204761 is an equidigital number, since it uses as much as digits as its factorization.

12204761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12204761 is about 3493.5313080034. The cubic root of 12204761 is about 230.2376937790.

Adding to 12204761 its reverse (16740221), we get a palindrome (28944982).

The spelling of 12204761 in words is "twelve million, two hundred four thousand, seven hundred sixty-one".