38825 has 6 divisors (see below), whose sum is σ = 48174. Its totient is φ = 31040.

The previous prime is 38821. The next prime is 38833. The reversal of 38825 is 52883.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 38809 = 4^2 + 197^2 .

It is not a de Polignac number, because 38825 - 2² = 38821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38794 and 38803.

It is not an unprimeable number, because it can be changed into a prime (38821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 752 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (8029).

2³⁸⁸²⁵ is an apocalyptic number.

It is an amenable number.

38825 is a deficient number, since it is larger than the sum of its proper divisors (9349).

38825 is a wasteful number, since it uses less digits than its factorization.

38825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1558 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 38825 is about 197.0406049524. The cubic root of 38825 is about 33.8613151243.

The spelling of 38825 in words is "thirty-eight thousand, eight hundred twenty-five".