387105625 has 15 divisors (see below), whose sum is σ = 484342617. Its totient is φ = 309291000.

The previous prime is 387105619. The next prime is 387105643. The reversal of 387105625 is 526501783.

The square root of 387105625 is 19675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 30349081 + 356756544 = 5509^2 + 18888^2 .

It is not a de Polignac number, because 387105625 - 2¹⁵ = 387072857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 491482 + ... + 492268.

Almost surely, 2^387105625 is an apocalyptic number.

387105625 is the 19675-th square number.

387105625 is the 9838-th centered octagonal number.

It is an amenable number.

387105625 is a deficient number, since it is larger than the sum of its proper divisors (97236992).

387105625 is an frugal number, since it uses more digits than its factorization.

387105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The cubic root of 387105625 is about 728.8024557526.

The spelling of 387105625 in words is "three hundred eighty-seven million, one hundred five thousand, six hundred twenty-five".