34393 has 4 divisors (see below), whose sum is σ = 34768. Its totient is φ = 34020.

The previous prime is 34381. The next prime is 34403. The reversal of 34393 is 39343.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 34393 - 2⁵ = 34361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34303) 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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (8692).

2³⁴³⁹³ is an apocalyptic number.

It is an amenable number.

34393 is a deficient number, since it is larger than the sum of its proper divisors (375).

34393 is a wasteful number, since it uses less digits than its factorization.

34393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374.

The product of its digits is 972, while the sum is 22.

The square root of 34393 is about 185.4534982145. The cubic root of 34393 is about 32.5204604891.

Subtracting 34393 from its reverse (39343), we obtain a triangular number (4950 = T₉₉).

The spelling of 34393 in words is "thirty-four thousand, three hundred ninety-three".