387540 has 36 divisors (see below), whose sum is σ = 1176084. Its totient is φ = 103296.

The previous prime is 387529. The next prime is 387551. The reversal of 387540 is 45783.

It is an interprime number because it is at equal distance from previous prime (387529) and next prime (387551).

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 311364 = 276^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 897 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (32669).

2³⁸⁷⁵⁴⁰ is an apocalyptic number.

387540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387540 is an abundant number, since it is smaller than the sum of its proper divisors (788544).

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

387540 is a wasteful number, since it uses less digits than its factorization.

387540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 387540 is about 622.5271078435. The cubic root of 387540 is about 72.9074952637.

The spelling of 387540 in words is "three hundred eighty-seven thousand, five hundred forty".