289106057 has 2 divisors, whose sum is σ = 289106058. Its totient is φ = 289106056.

The previous prime is 289106039. The next prime is 289106099. The reversal of 289106057 is 750601982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239135296 + 49970761 = 15464^2 + 7069^2 .

It is a cyclic number.

It is not a de Polignac number, because 289106057 - 2¹⁴ = 289089673 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 289106057.

It is not a weakly prime, because it can be changed into another prime (289106357) 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, 144553028 + 144553029.

It is an arithmetic number, because the mean of its divisors is an integer number (144553029).

Almost surely, 2^289106057 is an apocalyptic number.

It is an amenable number.

289106057 is a deficient number, since it is larger than the sum of its proper divisors (1).

289106057 is an equidigital number, since it uses as much as digits as its factorization.

289106057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 289106057 is about 17003.1190374002. The cubic root of 289106057 is about 661.2297679281.

The spelling of 289106057 in words is "two hundred eighty-nine million, one hundred six thousand, fifty-seven".