288166993 has 2 divisors, whose sum is σ = 288166994. Its totient is φ = 288166992.

The previous prime is 288166981. The next prime is 288167003. The reversal of 288166993 is 399661882.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185286544 + 102880449 = 13612^2 + 10143^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-288166993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288166993.

It is not a weakly prime, because it can be changed into another prime (288166913) 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, 144083496 + 144083497.

It is an arithmetic number, because the mean of its divisors is an integer number (144083497).

Almost surely, 2^288166993 is an apocalyptic number.

It is an amenable number.

288166993 is a deficient number, since it is larger than the sum of its proper divisors (1).

288166993 is an equidigital number, since it uses as much as digits as its factorization.

288166993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1119744, while the sum is 52.

The square root of 288166993 is about 16975.4821139195. The cubic root of 288166993 is about 660.5130637136.

It can be divided in two parts, 288 and 166993, that added together give a square (167281 = 409²).

The spelling of 288166993 in words is "two hundred eighty-eight million, one hundred sixty-six thousand, nine hundred ninety-three".