34353 has 12 divisors (see below), whose sum is σ = 54288. Its totient is φ = 20760.

The previous prime is 34351. The next prime is 34361. The reversal of 34353 is 35343.

Added to its reverse (35343) it gives a square (69696 = 264²).

It is a happy number.

It is not a de Polignac number, because 34353 - 2¹ = 34351 is a prime.

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (34351) 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, 75 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (4524).

2³⁴³⁵³ is an apocalyptic number.

34353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34353 is a deficient number, since it is larger than the sum of its proper divisors (19935).

34353 is a wasteful number, since it uses less digits than its factorization.

34353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 34353 is about 185.3456230937. The cubic root of 34353 is about 32.5078482033.

Adding to 34353 its reverse (35343), we get a palindrome (69696).

Subtracting 34353 from its reverse (35343), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 3 and 4353, that added together give a square (4356 = 66²).

The spelling of 34353 in words is "thirty-four thousand, three hundred fifty-three".