34065993 has 32 divisors (see below), whose sum is σ = 53186560. Its totient is φ = 19206720.

The previous prime is 34065989. The next prime is 34066003. The reversal of 34065993 is 39956043.

It is not a de Polignac number, because 34065993 - 2² = 34065989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34065953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22230 + ... + 23712.

It is an arithmetic number, because the mean of its divisors is an integer number (1662080).

Almost surely, 2^34065993 is an apocalyptic number.

It is an amenable number.

34065993 is a deficient number, since it is larger than the sum of its proper divisors (19120567).

34065993 is a wasteful number, since it uses less digits than its factorization.

34065993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549.

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 34065993 is about 5836.6080046548. The cubic root of 34065993 is about 324.1706443723.

The spelling of 34065993 in words is "thirty-four million, sixty-five thousand, nine hundred ninety-three".