10705993 has 2 divisors, whose sum is σ = 10705994. Its totient is φ = 10705992.

The previous prime is 10705967. The next prime is 10706009. The reversal of 10705993 is 39950701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10705984 + 9 = 3272^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 10705993 - 2²¹ = 8608841 is a prime.

It is a super-2 number, since 2×10705993² = 229236572232098, which contains 22 as substring.

It is equal to p₇₀₈₃₈₈ and since 10705993 and 708388 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10705693) 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, 5352996 + 5352997.

It is an arithmetic number, because the mean of its divisors is an integer number (5352997).

Almost surely, 2^10705993 is an apocalyptic number.

It is an amenable number.

10705993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705993 is an equidigital number, since it uses as much as digits as its factorization.

10705993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 34.

The square root of 10705993 is about 3272.0013753053. The cubic root of 10705993 is about 220.3986779169.

The spelling of 10705993 in words is "ten million, seven hundred five thousand, nine hundred ninety-three".