387100 has 54 divisors (see below), whose sum is σ = 989520. Its totient is φ = 131040.

The previous prime is 387089. The next prime is 387109. The reversal of 387100 is 1783.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4861 + ... + 4939.

2³⁸⁷¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494760).

387100 is an abundant number, since it is smaller than the sum of its proper divisors (602420).

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

387100 is a wasteful number, since it uses less digits than its factorization.

387100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 387100 is about 622.1736092121. The cubic root of 387100 is about 72.8798925679.

Adding to 387100 its reverse (1783), we get a palindrome (388883).

The spelling of 387100 in words is "three hundred eighty-seven thousand, one hundred".