66735 has 12 divisors (see below), whose sum is σ = 115752. Its totient is φ = 35568.

The previous prime is 66733. The next prime is 66739. The reversal of 66735 is 53766.

It is not a de Polignac number, because 66735 - 2¹ = 66733 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 junction number, because it is equal to n+sod(n) for n = 66699 and 66708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (9646).

2⁶⁶⁷³⁵ is an apocalyptic number.

66735 is a deficient number, since it is larger than the sum of its proper divisors (49017).

66735 is a wasteful number, since it uses less digits than its factorization.

66735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1491 counting only the distinct ones).

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

The square root of 66735 is about 258.3311827867. The cubic root of 66735 is about 40.5618624776.

The spelling of 66735 in words is "sixty-six thousand, seven hundred thirty-five".