10817261 has 16 divisors (see below), whose sum is σ = 13776000. Its totient is φ = 8261568.

The previous prime is 10817243. The next prime is 10817263. The reversal of 10817261 is 16271801.

10817261 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10817261 - 2¹⁰ = 10816237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10817261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10817263) 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, 590 + ... + 4688.

It is an arithmetic number, because the mean of its divisors is an integer number (861000).

Almost surely, 2^10817261 is an apocalyptic number.

It is an amenable number.

10817261 is a deficient number, since it is larger than the sum of its proper divisors (2958739).

10817261 is a wasteful number, since it uses less digits than its factorization.

10817261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 10817261 is about 3288.9604740708. The cubic root of 10817261 is about 221.1595866227.

The spelling of 10817261 in words is "ten million, eight hundred seventeen thousand, two hundred sixty-one".