387216 has 30 divisors (see below), whose sum is σ = 1084070. Its totient is φ = 129024.

The previous prime is 387203. The next prime is 387227. The reversal of 387216 is 612783.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 156816 = 480^2 + 396^2 .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 387216.

It is an unprimeable number.

387216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1201 + ... + 1488.

2³⁸⁷²¹⁶ is an apocalyptic number.

387216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

387216 is an abundant number, since it is smaller than the sum of its proper divisors (696854).

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

387216 is a wasteful number, since it uses less digits than its factorization.

387216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2694 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 387216 is about 622.2668237983. The cubic root of 387216 is about 72.8871716717.

Adding to 387216 its reverse (612783), we get a palindrome (999999).

The spelling of 387216 in words is "three hundred eighty-seven thousand, two hundred sixteen".