667033993 has 2 divisors, whose sum is σ = 667033994. Its totient is φ = 667033992.

The previous prime is 667033967. The next prime is 667034009. The reversal of 667033993 is 399330766.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 667033929 + 64 = 25827^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 667033993 - 2⁹ = 667033481 is a prime.

It is a super-3 number, since 3×667033993³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (667033903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 333516996 + 333516997.

It is an arithmetic number, because the mean of its divisors is an integer number (333516997).

Almost surely, 2^667033993 is an apocalyptic number.

It is an amenable number.

667033993 is a deficient number, since it is larger than the sum of its proper divisors (1).

667033993 is an equidigital number, since it uses as much as digits as its factorization.

667033993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 551124, while the sum is 46.

The square root of 667033993 is about 25827.0012390134. The cubic root of 667033993 is about 873.7408798321.

The spelling of 667033993 in words is "six hundred sixty-seven million, thirty-three thousand, nine hundred ninety-three".