10205347 has 2 divisors, whose sum is σ = 10205348. Its totient is φ = 10205346.

The previous prime is 10205297. The next prime is 10205357. The reversal of 10205347 is 74350201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10205347 - 2¹¹ = 10203299 is a prime.

It is a super-3 number, since 3×10205347³ (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10205357) 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, 5102673 + 5102674.

It is an arithmetic number, because the mean of its divisors is an integer number (5102674).

Almost surely, 2^10205347 is an apocalyptic number.

10205347 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205347 is an equidigital number, since it uses as much as digits as its factorization.

10205347 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 10205347 is about 3194.5808801782. The cubic root of 10205347 is about 216.9081775075.

Adding to 10205347 its reverse (74350201), we get a palindrome (84555548).

The spelling of 10205347 in words is "ten million, two hundred five thousand, three hundred forty-seven".