66946033 has 12 divisors (see below), whose sum is σ = 84098560. Its totient is φ = 52165080.

The previous prime is 66946027. The next prime is 66946039. The reversal of 66946033 is 33064966.

It is an interprime number because it is at equal distance from previous prime (66946027) and next prime (66946039).

It is not a de Polignac number, because 66946033 - 2⁹ = 66945521 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66945983 and 66946001.

It is not an unprimeable number, because it can be changed into a prime (66946039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38673 + ... + 40366.

Almost surely, 2^66946033 is an apocalyptic number.

It is an amenable number.

66946033 is a deficient number, since it is larger than the sum of its proper divisors (17152527).

66946033 is a wasteful number, since it uses less digits than its factorization.

66946033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79068 (or 79057 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 66946033 is about 8182.0555485770. The cubic root of 66946033 is about 406.0457312170.

The spelling of 66946033 in words is "sixty-six million, nine hundred forty-six thousand, thirty-three".