387008257 has 2 divisors, whose sum is σ = 387008258. Its totient is φ = 387008256.

The previous prime is 387008233. The next prime is 387008267. The reversal of 387008257 is 752800783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217592001 + 169416256 = 14751^2 + 13016^2 .

It is a cyclic number.

It is not a de Polignac number, because 387008257 - 2¹¹ = 387006209 is a prime.

It is not a weakly prime, because it can be changed into another prime (387008267) 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, 193504128 + 193504129.

It is an arithmetic number, because the mean of its divisors is an integer number (193504129).

Almost surely, 2^387008257 is an apocalyptic number.

It is an amenable number.

387008257 is a deficient number, since it is larger than the sum of its proper divisors (1).

387008257 is an equidigital number, since it uses as much as digits as its factorization.

387008257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 387008257 is about 19672.5254352358. The cubic root of 387008257 is about 728.7413458268.

The spelling of 387008257 in words is "three hundred eighty-seven million, eight thousand, two hundred fifty-seven".