34153 has 12 divisors (see below), whose sum is σ = 43092. Its totient is φ = 26880.

The previous prime is 34147. The next prime is 34157. The reversal of 34153 is 35143.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 21609 = 112^2 + 147^2 .

It is not a de Polignac number, because 34153 - 2⁹ = 33641 is a prime.

It is an Ulam number.

34153 is a modest number, since divided by 153 gives 34 as remainder.

It is not an unprimeable number, because it can be changed into a prime (34157) 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 11 ways as a sum of consecutive naturals, for example, 813 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2³⁴¹⁵³ is an apocalyptic number.

It is an amenable number.

34153 is a deficient number, since it is larger than the sum of its proper divisors (8939).

34153 is a wasteful number, since it uses less digits than its factorization.

34153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 34153 is about 184.8053029542. The cubic root of 34153 is about 32.4446394802. Note that the first 3 decimals are identical.

Adding to 34153 its reverse (35143), we get a palindrome (69296).

Subtracting 34153 from its reverse (35143), we obtain a triangular number (990 = T₄₄).

The spelling of 34153 in words is "thirty-four thousand, one hundred fifty-three".