412084289 has 2 divisors, whose sum is σ = 412084290. Its totient is φ = 412084288.

The previous prime is 412084243. The next prime is 412084291. The reversal of 412084289 is 982480214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210018064 + 202066225 = 14492^2 + 14215^2 .

It is a cyclic number.

It is not a de Polignac number, because 412084289 - 2¹⁶ = 412018753 is a prime.

It is a super-2 number, since 2×412084289² = 339626922481271042, which contains 22 as substring.

Together with 412084291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (412044289) 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, 206042144 + 206042145.

It is an arithmetic number, because the mean of its divisors is an integer number (206042145).

Almost surely, 2^412084289 is an apocalyptic number.

It is an amenable number.

412084289 is a deficient number, since it is larger than the sum of its proper divisors (1).

412084289 is an equidigital number, since it uses as much as digits as its factorization.

412084289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 412084289 is about 20299.8593344880. The cubic root of 412084289 is about 744.1526266297.

The spelling of 412084289 in words is "four hundred twelve million, eighty-four thousand, two hundred eighty-nine".