66975 has 24 divisors (see below), whose sum is σ = 119040. Its totient is φ = 33120.

The previous prime is 66973. The next prime is 66977. The reversal of 66975 is 57966.

It is an interprime number because it is at equal distance from previous prime (66973) and next prime (66977).

It is not a de Polignac number, because 66975 - 2¹ = 66973 is a prime.

66975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402 + ... + 1448.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2⁶⁶⁹⁷⁵ is an apocalyptic number.

66975 is a deficient number, since it is larger than the sum of its proper divisors (52065).

66975 is a wasteful number, since it uses less digits than its factorization.

66975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 74 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 66975 is about 258.7952858922. The cubic root of 66975 is about 40.6104286993.

Subtracting from 66975 its reverse (57966), we obtain a palindrome (9009).

The spelling of 66975 in words is "sixty-six thousand, nine hundred seventy-five".