123825 has 24 divisors (see below), whose sum is σ = 222208. Its totient is φ = 60480.

The previous prime is 123821. The next prime is 123829. The reversal of 123825 is 528321.

It is an interprime number because it is at equal distance from previous prime (123821) and next prime (123829).

It is not a de Polignac number, because 123825 - 2² = 123821 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912 + ... + 1038.

2¹²³⁸²⁵ is an apocalyptic number.

123825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123825 is a deficient number, since it is larger than the sum of its proper divisors (98383).

123825 is a wasteful number, since it uses less digits than its factorization.

123825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 123825 is about 351.8877661983. The cubic root of 123825 is about 49.8428398647.

Subtracting 123825 from its reverse (528321), we obtain a square (404496 = 636²).

It can be divided in two parts, 123 and 825, that multiplied together give a triangular number (101475 = T₄₅₀).

The spelling of 123825 in words is "one hundred twenty-three thousand, eight hundred twenty-five".