103825 has 6 divisors (see below), whose sum is σ = 128774. Its totient is φ = 83040.

The previous prime is 103813. The next prime is 103837. The reversal of 103825 is 528301.

It is a happy number.

103825 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (103813) and next prime (103837).

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 103041 = 28^2 + 321^2 .

It is not a de Polignac number, because 103825 - 2¹³ = 95633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2052 + ... + 2101.

2¹⁰³⁸²⁵ is an apocalyptic number.

It is an amenable number.

103825 is a deficient number, since it is larger than the sum of its proper divisors (24949).

103825 is an equidigital number, since it uses as much as digits as its factorization.

103825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 103825 is about 322.2188697144. The cubic root of 103825 is about 47.0003017937. Note that the first 3 decimals are identical.

The spelling of 103825 in words is "one hundred three thousand, eight hundred twenty-five".