66133683 has 36 divisors (see below), whose sum is σ = 121233528. Its totient is φ = 34352640.

The previous prime is 66133673. The next prime is 66133709. The reversal of 66133683 is 38633166.

66133683 is a `hidden beast` number, since 6 + 613 + 36 + 8 + 3 = 666.

It is not a de Polignac number, because 66133683 - 2⁴ = 66133667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66133603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1966 + ... + 11667.

It is an arithmetic number, because the mean of its divisors is an integer number (3367598).

Almost surely, 2^66133683 is an apocalyptic number.

66133683 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

66133683 is a deficient number, since it is larger than the sum of its proper divisors (55099845).

66133683 is a wasteful number, since it uses less digits than its factorization.

66133683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 13654 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 66133683 is about 8132.2618624833. The cubic root of 66133683 is about 404.3966691047.

It can be divided in two parts, 6613 and 3683, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 66133683 in words is "sixty-six million, one hundred thirty-three thousand, six hundred eighty-three".