66825 has 36 divisors (see below), whose sum is σ = 135408. Its totient is φ = 32400.

The previous prime is 66821. The next prime is 66841. The reversal of 66825 is 52866.

It is not a de Polignac number, because 66825 - 2² = 66821 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime factors (36).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (66821) 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, 6070 + ... + 6080.

2⁶⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

66825 is an abundant number, since it is smaller than the sum of its proper divisors (68583).

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 (67704).

66825 is a wasteful number, since it uses less digits than its factorization.

66825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 19 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 66825 is about 258.5053190942. The cubic root of 66825 is about 40.5800884349.

The spelling of 66825 in words is "sixty-six thousand, eight hundred twenty-five".