66375 has 24 divisors (see below), whose sum is σ = 121680. Its totient is φ = 34800.

The previous prime is 66373. The next prime is 66377. The reversal of 66375 is 57366.

It is an interprime number because it is at equal distance from previous prime (66373) and next prime (66377).

It is not a de Polignac number, because 66375 - 2¹ = 66373 is a prime.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (5070).

2⁶⁶³⁷⁵ is an apocalyptic number.

66375 is a deficient number, since it is larger than the sum of its proper divisors (55305).

66375 is a wasteful number, since it uses less digits than its factorization.

66375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 66375 is about 257.6334605598. The cubic root of 66375 is about 40.4887943393.

Subtracting from 66375 its reverse (57366), we obtain a palindrome (9009).

It can be divided in two parts, 66 and 375, that added together give a square (441 = 21²).

The spelling of 66375 in words is "sixty-six thousand, three hundred seventy-five".