34993 has 4 divisors (see below), whose sum is σ = 40000. Its totient is φ = 29988.

The previous prime is 34981. The next prime is 35023. The reversal of 34993 is 39943.

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 an emirpimes, since its reverse is a distinct semiprime: 39943 = 59 ⋅677.

It is not a de Polignac number, because 34993 - 2⁵ = 34961 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (34913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2493 + ... + 2506.

It is an arithmetic number, because the mean of its divisors is an integer number (10000).

34993 is a Friedman number, since it can be written as ((9+9)^4+3)/3, using all its digits and the basic arithmetic operations.

2³⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

34993 is a deficient number, since it is larger than the sum of its proper divisors (5007).

34993 is an equidigital number, since it uses as much as digits as its factorization.

34993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006.

The product of its digits is 2916, while the sum is 28.

The square root of 34993 is about 187.0641601163. The cubic root of 34993 is about 32.7084822456.

Subtracting 34993 from its reverse (39943), we obtain a triangular number (4950 = T₉₉).

The spelling of 34993 in words is "thirty-four thousand, nine hundred ninety-three".