387205067 has 16 divisors (see below), whose sum is σ = 403965408. Its totient is φ = 370863360.

The previous prime is 387205057. The next prime is 387205081. The reversal of 387205067 is 760502783.

It is a happy number.

It is not a de Polignac number, because 387205067 - 2¹² = 387200971 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 387205067.

It is not an unprimeable number, because it can be changed into a prime (387205057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919517 + ... + 919937.

It is an arithmetic number, because the mean of its divisors is an integer number (25247838).

Almost surely, 2^387205067 is an apocalyptic number.

387205067 is a deficient number, since it is larger than the sum of its proper divisors (16760341).

387205067 is a wasteful number, since it uses less digits than its factorization.

387205067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 387205067 is about 19677.5269533547. The cubic root of 387205067 is about 728.8648567823.

The spelling of 387205067 in words is "three hundred eighty-seven million, two hundred five thousand, sixty-seven".