10705817 has 2 divisors, whose sum is σ = 10705818. Its totient is φ = 10705816.

The previous prime is 10705813. The next prime is 10705823. The reversal of 10705817 is 71850701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10214416 + 491401 = 3196^2 + 701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10705817 - 2² = 10705813 is a prime.

It is a super-2 number, since 2×10705817² = 229229035274978, which contains 22 as substring.

It is equal to p₇₀₈₃₇₄ and since 10705817 and 708374 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10705817.

It is not a weakly prime, because it can be changed into another prime (10705813) 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 as a sum of consecutive naturals, namely, 5352908 + 5352909.

It is an arithmetic number, because the mean of its divisors is an integer number (5352909).

Almost surely, 2^10705817 is an apocalyptic number.

It is an amenable number.

10705817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705817 is an equidigital number, since it uses as much as digits as its factorization.

10705817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 29.

The square root of 10705817 is about 3271.9744803406. The cubic root of 10705817 is about 220.3974701703.

The spelling of 10705817 in words is "ten million, seven hundred five thousand, eight hundred seventeen".