34766993 has 6 divisors (see below), whose sum is σ = 35438214. Its totient is φ = 34108256.

The previous prime is 34766987. The next prime is 34766999. The reversal of 34766993 is 39966743.

It is an interprime number because it is at equal distance from previous prime (34766987) and next prime (34766999).

It can be written as a sum of positive squares in 3 ways, for example, as 5303809 + 29463184 = 2303^2 + 5428^2 .

It is not a de Polignac number, because 34766993 - 2¹⁴ = 34750609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34766999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3380 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (5906369).

Almost surely, 2^34766993 is an apocalyptic number.

It is an amenable number.

34766993 is a deficient number, since it is larger than the sum of its proper divisors (671221).

34766993 is an equidigital number, since it uses as much as digits as its factorization.

34766993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483 (or 12430 counting only the distinct ones).

The product of its digits is 734832, while the sum is 47.

The square root of 34766993 is about 5896.3542125622. The cubic root of 34766993 is about 326.3791272106.

The spelling of 34766993 in words is "thirty-four million, seven hundred sixty-six thousand, nine hundred ninety-three".