381825 has 18 divisors (see below), whose sum is σ = 684294. Its totient is φ = 203520.

The previous prime is 381817. The next prime is 381841. The reversal of 381825 is 528183.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 103041 + 278784 = 321^2 + 528^2 .

It is not a de Polignac number, because 381825 - 2³ = 381817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 624 + ... + 1073.

2³⁸¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

381825 is a deficient number, since it is larger than the sum of its proper divisors (302469).

381825 is a wasteful number, since it uses less digits than its factorization.

381825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1705 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 381825 is about 617.9198977214. The cubic root of 381825 is about 72.5473333395.

The spelling of 381825 in words is "three hundred eighty-one thousand, eight hundred twenty-five".