289752121 has 2 divisors, whose sum is σ = 289752122. Its totient is φ = 289752120.

The previous prime is 289752119. The next prime is 289752149. The reversal of 289752121 is 121257982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286929721 + 2822400 = 16939^2 + 1680^2 .

It is a cyclic number.

It is not a de Polignac number, because 289752121 - 2¹ = 289752119 is a prime.

Together with 289752119, it forms a pair of twin primes.

It is equal to p_15726952 and since 289752121 and 15726952 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (289752101) 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, 144876060 + 144876061.

It is an arithmetic number, because the mean of its divisors is an integer number (144876061).

Almost surely, 2^289752121 is an apocalyptic number.

It is an amenable number.

289752121 is a deficient number, since it is larger than the sum of its proper divisors (1).

289752121 is an equidigital number, since it uses as much as digits as its factorization.

289752121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 37.

The square root of 289752121 is about 17022.1068319994. The cubic root of 289752121 is about 661.7219505427.

The spelling of 289752121 in words is "two hundred eighty-nine million, seven hundred fifty-two thousand, one hundred twenty-one".