34053 has 4 divisors (see below), whose sum is σ = 45408. Its totient is φ = 22700.

The previous prime is 34039. The next prime is 34057. The reversal of 34053 is 35043.

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: 35043 = 3 ⋅11681.

It is a cyclic number.

It is not a de Polignac number, because 34053 - 2⁸ = 33797 is a prime.

It is a D-number.

34053 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5673 + ... + 5678.

It is an arithmetic number, because the mean of its divisors is an integer number (11352).

2³⁴⁰⁵³ is an apocalyptic number.

It is an amenable number.

34053 is a deficient number, since it is larger than the sum of its proper divisors (11355).

34053 is a wasteful number, since it uses less digits than its factorization.

34053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 34053 is about 184.5345496106. The cubic root of 34053 is about 32.4129425506.

Adding to 34053 its reverse (35043), we get a palindrome (69096).

Subtracting 34053 from its reverse (35043), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 340 and 53, that added together give a palindrome (393).

The spelling of 34053 in words is "thirty-four thousand, fifty-three".