34101 has 10 divisors (see below), whose sum is σ = 51062. Its totient is φ = 22680.

The previous prime is 34061. The next prime is 34123. The reversal of 34101 is 10143.

It can be written as a sum of positive squares in only one way, i.e., 18225 + 15876 = 135^2 + 126^2 .

It is not a de Polignac number, because 34101 - 2⁹ = 33589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141) 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 9 ways as a sum of consecutive naturals, for example, 130 + ... + 291.

2³⁴¹⁰¹ is an apocalyptic number.

It is an amenable number.

34101 is a deficient number, since it is larger than the sum of its proper divisors (16961).

34101 is an equidigital number, since it uses as much as digits as its factorization.

34101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 34101 is about 184.6645607581. The cubic root of 34101 is about 32.4281648101.

Adding to 34101 its reverse (10143), we get a palindrome (44244).

The spelling of 34101 in words is "thirty-four thousand, one hundred one".