387112409 has 2 divisors, whose sum is σ = 387112410. Its totient is φ = 387112408.

The previous prime is 387112391. The next prime is 387112417. The reversal of 387112409 is 904211783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278890000 + 108222409 = 16700^2 + 10403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-387112409 is a prime.

It is a super-3 number, since 3×387112409³ (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (387112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193556204 + 193556205.

It is an arithmetic number, because the mean of its divisors is an integer number (193556205).

Almost surely, 2^387112409 is an apocalyptic number.

It is an amenable number.

387112409 is a deficient number, since it is larger than the sum of its proper divisors (1).

387112409 is an equidigital number, since it uses as much as digits as its factorization.

387112409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 387112409 is about 19675.1724007695. The cubic root of 387112409 is about 728.8067131324.

The spelling of 387112409 in words is "three hundred eighty-seven million, one hundred twelve thousand, four hundred nine".