34001 has 6 divisors (see below), whose sum is σ = 37506. Its totient is φ = 30800.

The previous prime is 33997. The next prime is 34019. The reversal of 34001 is 10043.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 3025 = 176^2 + 55^2 .

It is not a de Polignac number, because 34001 - 2² = 33997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34001.

It is not an unprimeable number, because it can be changed into a prime (34031) 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, 20 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (6251).

2³⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

34001 is a deficient number, since it is larger than the sum of its proper divisors (3505).

34001 is a wasteful number, since it uses less digits than its factorization.

34001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 34001 is about 184.3936007566. The cubic root of 34001 is about 32.3964356187.

Adding to 34001 its reverse (10043), we get a palindrome (44044).

It can be divided in two parts, 3 and 4001, that added together give a palindrome (4004).

The spelling of 34001 in words is "thirty-four thousand, one".