387712 has 32 divisors (see below), whose sum is σ = 835380. Its totient is φ = 178176.

The previous prime is 387707. The next prime is 387721. The reversal of 387712 is 217783.

It is a happy number.

387712 is nontrivially palindromic in base 14.

387712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 46656 = 584^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

387712 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 3 ways as a sum of consecutive naturals, for example, 1548 + ... + 1780.

2³⁸⁷⁷¹² is an apocalyptic number.

387712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417690).

387712 is an abundant number, since it is smaller than the sum of its proper divisors (447668).

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

387712 is a wasteful number, since it uses less digits than its factorization.

387712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 387712 is about 622.6652391133. The cubic root of 387712 is about 72.9182797285.

It can be divided in two parts, 38 and 7712, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 387712 in words is "three hundred eighty-seven thousand, seven hundred twelve".