120825 has 24 divisors (see below), whose sum is σ = 223200. Its totient is φ = 64080.

The previous prime is 120823. The next prime is 120829. The reversal of 120825 is 528021.

120825 = 1⁵ + 2⁵ + ... + 9⁵.

It is not a de Polignac number, because 120825 - 2¹ = 120823 is a prime.

It is a Curzon number.

120825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 120798 and 120807.

It is not an unprimeable number, because it can be changed into a prime (120823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2¹²⁰⁸²⁵ is an apocalyptic number.

120825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120825 is a deficient number, since it is larger than the sum of its proper divisors (102375).

120825 is a wasteful number, since it uses less digits than its factorization.

120825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120825 is about 347.5989067877. The cubic root of 120825 is about 49.4370181537.

Adding to 120825 its reverse (528021), we get a palindrome (648846).

The spelling of 120825 in words is "one hundred twenty thousand, eight hundred twenty-five".