10004261 has 2 divisors, whose sum is σ = 10004262. Its totient is φ = 10004260.

The previous prime is 10004243. The next prime is 10004263. The reversal of 10004261 is 16240001.

10004261 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7344100 + 2660161 = 2710^2 + 1631^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004261 - 2¹⁰ = 10003237 is a prime.

It is a super-2 number, since 2×10004261² = 200170476312242, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 10004263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002130 + 5002131.

It is an arithmetic number, because the mean of its divisors is an integer number (5002131).

Almost surely, 2^10004261 is an apocalyptic number.

It is an amenable number.

10004261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004261 is an equidigital number, since it uses as much as digits as its factorization.

10004261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10004261 is about 3162.9513116708. The cubic root of 10004261 is about 215.4740648120.

Adding to 10004261 its reverse (16240001), we get a palindrome (26244262).

The spelling of 10004261 in words is "ten million, four thousand, two hundred sixty-one".