69825 has 36 divisors (see below), whose sum is σ = 141360. Its totient is φ = 30240.

The previous prime is 69821. The next prime is 69827. The reversal of 69825 is 52896.

69825 = 11² + 12² + ... + 59².

It is not a de Polignac number, because 69825 - 2² = 69821 is a prime.

69825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 69792 and 69801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69825.

It is not an unprimeable number, because it can be changed into a prime (69821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3666 + ... + 3684.

2⁶⁹⁸²⁵ is an apocalyptic number.

It is an amenable number.

69825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

69825 is a wasteful number, since it uses less digits than its factorization.

69825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 69825 is about 264.2442052345. The cubic root of 69825 is about 41.1784802941.

The spelling of 69825 in words is "sixty-nine thousand, eight hundred twenty-five".