10007261 has 8 divisors (see below), whose sum is σ = 11171424. Its totient is φ = 8885520.

The previous prime is 10007201. The next prime is 10007267. The reversal of 10007261 is 16270001.

It is a happy number.

10007261 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10007261 - 2¹⁸ = 9745117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007267) 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 7 ways as a sum of consecutive naturals, for example, 10106 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (1396428).

Almost surely, 2^10007261 is an apocalyptic number.

10007261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10007261 is a deficient number, since it is larger than the sum of its proper divisors (1164163).

10007261 is a wasteful number, since it uses less digits than its factorization.

10007261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21211.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10007261 is about 3163.4255167460. The cubic root of 10007261 is about 215.4956008885.

Adding to 10007261 its reverse (16270001), we get a palindrome (26277262).

The spelling of 10007261 in words is "ten million, seven thousand, two hundred sixty-one".