34768593 has 12 divisors (see below), whose sum is σ = 51953460. Its totient is φ = 22379616.

The previous prime is 34768561. The next prime is 34768603. The reversal of 34768593 is 39586743.

It can be written as a sum of positive squares in 2 ways, for example, as 27217089 + 7551504 = 5217^2 + 2748^2 .

It is not a de Polignac number, because 34768593 - 2⁵ = 34768561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34768193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66346 + ... + 66867.

It is an arithmetic number, because the mean of its divisors is an integer number (4329455).

Almost surely, 2^34768593 is an apocalyptic number.

It is an amenable number.

34768593 is a deficient number, since it is larger than the sum of its proper divisors (17184867).

34768593 is a wasteful number, since it uses less digits than its factorization.

34768593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133248 (or 133245 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 34768593 is about 5896.4898880605. The cubic root of 34768593 is about 326.3841338615.

The spelling of 34768593 in words is "thirty-four million, seven hundred sixty-eight thousand, five hundred ninety-three".