66575 has 6 divisors (see below), whose sum is σ = 82584. Its totient is φ = 53240.

The previous prime is 66571. The next prime is 66587. The reversal of 66575 is 57566.

It is not a de Polignac number, because 66575 - 2² = 66571 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1307 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (13764).

2⁶⁶⁵⁷⁵ is an apocalyptic number.

66575 is a deficient number, since it is larger than the sum of its proper divisors (16009).

66575 is a wasteful number, since it uses less digits than its factorization.

66575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2668 counting only the distinct ones).

The product of its digits is 6300, while the sum is 29.

The square root of 66575 is about 258.0213169488. The cubic root of 66575 is about 40.5294202733.

Subtracting from 66575 its reverse (57566), we obtain a palindrome (9009).

It can be divided in two parts, 66 and 575, that multiplied together give a triangular number (37950 = T₂₇₅).

The spelling of 66575 in words is "sixty-six thousand, five hundred seventy-five".