289108993 has 2 divisors, whose sum is σ = 289108994. Its totient is φ = 289108992.

The previous prime is 289108931. The next prime is 289109017. The reversal of 289108993 is 399801982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286523329 + 2585664 = 16927^2 + 1608^2 .

It is a cyclic number.

It is not a de Polignac number, because 289108993 - 2²¹ = 287011841 is a prime.

It is a super-3 number, since 3×289108993³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (289108903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144554496 + 144554497.

It is an arithmetic number, because the mean of its divisors is an integer number (144554497).

Almost surely, 2^289108993 is an apocalyptic number.

It is an amenable number.

289108993 is a deficient number, since it is larger than the sum of its proper divisors (1).

289108993 is an equidigital number, since it uses as much as digits as its factorization.

289108993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 279936, while the sum is 49.

The square root of 289108993 is about 17003.2053742816. The cubic root of 289108993 is about 661.2320062809.

The spelling of 289108993 in words is "two hundred eighty-nine million, one hundred eight thousand, nine hundred ninety-three".