387345 has 48 divisors (see below), whose sum is σ = 787968. Its totient is φ = 161280.

The previous prime is 387341. The next prime is 387371. The reversal of 387345 is 543783.

It is not a de Polignac number, because 387345 - 2² = 387341 is a prime.

It is a super-2 number, since 2×387345² = 300072298050, which contains 22 as substring.

Its product of digits (10080) is a multiple of the sum of its prime divisors (63).

It is a Curzon number.

387345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (387341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12480 + ... + 12510.

It is an arithmetic number, because the mean of its divisors is an integer number (16416).

2³⁸⁷³⁴⁵ is an apocalyptic number.

387345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

387345 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

387345 is a wasteful number, since it uses less digits than its factorization.

387345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 63 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 387345 is about 622.3704684511. The cubic root of 387345 is about 72.8952648301.

The spelling of 387345 in words is "three hundred eighty-seven thousand, three hundred forty-five".