34893 has 6 divisors (see below), whose sum is σ = 50414. Its totient is φ = 23256.

The previous prime is 34883. The next prime is 34897. The reversal of 34893 is 39843.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 8649 = 162^2 + 93^2 .

It is not a de Polignac number, because 34893 - 2⁴ = 34877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34893.

It is not an unprimeable number, because it can be changed into a prime (34897) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1930 + ... + 1947.

2³⁴⁸⁹³ is an apocalyptic number.

It is an amenable number.

34893 is a deficient number, since it is larger than the sum of its proper divisors (15521).

34893 is a wasteful number, since it uses less digits than its factorization.

34893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3880 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34893 is about 186.7966809127. The cubic root of 34893 is about 32.6772953521.

Subtracting 34893 from its reverse (39843), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 348 and 93, that added together give a square (441 = 21²).

The spelling of 34893 in words is "thirty-four thousand, eight hundred ninety-three".