289791101 has 2 divisors, whose sum is σ = 289791102. Its totient is φ = 289791100.

The previous prime is 289791091. The next prime is 289791107. The reversal of 289791101 is 101197982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221712100 + 68079001 = 14890^2 + 8251^2 .

It is a cyclic number.

It is not a de Polignac number, because 289791101 - 2¹⁸ = 289528957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289791107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144895550 + 144895551.

It is an arithmetic number, because the mean of its divisors is an integer number (144895551).

Almost surely, 2^289791101 is an apocalyptic number.

It is an amenable number.

289791101 is a deficient number, since it is larger than the sum of its proper divisors (1).

289791101 is an equidigital number, since it uses as much as digits as its factorization.

289791101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 38.

The square root of 289791101 is about 17023.2517751457. The cubic root of 289791101 is about 661.7516227615.

The spelling of 289791101 in words is "two hundred eighty-nine million, seven hundred ninety-one thousand, one hundred one".