66835 has 4 divisors (see below), whose sum is σ = 80208. Its totient is φ = 53464.

The previous prime is 66821. The next prime is 66841. The reversal of 66835 is 53866.

66835 = T₁₆₁ + T₁₆₂ + ... + T₁₆₅.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66835 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6679 + ... + 6688.

It is an arithmetic number, because the mean of its divisors is an integer number (20052).

2⁶⁶⁸³⁵ is an apocalyptic number.

66835 is a deficient number, since it is larger than the sum of its proper divisors (13373).

66835 is a wasteful number, since it uses less digits than its factorization.

66835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13372.

The product of its digits is 4320, while the sum is 28.

The square root of 66835 is about 258.5246603324. The cubic root of 66835 is about 40.5821125309.

It can be divided in two parts, 668 and 35, that added together give a triangular number (703 = T₃₇).

The spelling of 66835 in words is "sixty-six thousand, eight hundred thirty-five".