9905293 has 2 divisors, whose sum is σ = 9905294. Its totient is φ = 9905292.

The previous prime is 9905267. The next prime is 9905377. The reversal of 9905293 is 3925099.

9905293 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6953769 + 2951524 = 2637^2 + 1718^2 .

It is a cyclic number.

It is not a de Polignac number, because 9905293 - 2⁵ = 9905261 is a prime.

It is a super-2 number, since 2×9905293² = 196229658831698, which contains 22 as substring.

It is equal to p₆₅₈₇₇₄ and since 9905293 and 658774 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9905263) 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, 4952646 + 4952647.

It is an arithmetic number, because the mean of its divisors is an integer number (4952647).

Almost surely, 2^9905293 is an apocalyptic number.

It is an amenable number.

9905293 is a deficient number, since it is larger than the sum of its proper divisors (1).

9905293 is an equidigital number, since it uses as much as digits as its factorization.

9905293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 37.

The square root of 9905293 is about 3147.2675450301. The cubic root of 9905293 is about 214.7611770336.

The spelling of 9905293 in words is "nine million, nine hundred five thousand, two hundred ninety-three".