387306 has 12 divisors (see below), whose sum is σ = 839202. Its totient is φ = 129096.

The previous prime is 387281. The next prime is 387307. The reversal of 387306 is 603783.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 349281 + 38025 = 591^2 + 195^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 387306.

It is not an unprimeable number, because it can be changed into a prime (387307) by changing a digit.

387306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 5 ways as a sum of consecutive naturals, for example, 10741 + ... + 10776.

2³⁸⁷³⁰⁶ is an apocalyptic number.

387306 is an abundant number, since it is smaller than the sum of its proper divisors (451896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387306 is a wasteful number, since it uses less digits than its factorization.

387306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21525 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 387306 is about 622.3391358415. The cubic root of 387306 is about 72.8928182508.

The spelling of 387306 in words is "three hundred eighty-seven thousand, three hundred six".