102825 has 18 divisors (see below), whose sum is σ = 184574. Its totient is φ = 54720.

The previous prime is 102811. The next prime is 102829. The reversal of 102825 is 528201.

It can be written as a sum of positive squares in 3 ways, for example, as 19881 + 82944 = 141^2 + 288^2 .

It is not a de Polignac number, because 102825 - 2⁵ = 102793 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102798 and 102807.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102825.

It is not an unprimeable number, because it can be changed into a prime (102829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4 + ... + 453.

2¹⁰²⁸²⁵ is an apocalyptic number.

102825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102825 is a deficient number, since it is larger than the sum of its proper divisors (81749).

102825 is a wasteful number, since it uses less digits than its factorization.

102825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

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

The square root of 102825 is about 320.6633748965. The cubic root of 102825 is about 46.8489188245.

The spelling of 102825 in words is "one hundred two thousand, eight hundred twenty-five".