34021 has 4 divisors (see below), whose sum is σ = 36652. Its totient is φ = 31392.

The previous prime is 34019. The next prime is 34031. The reversal of 34021 is 12043.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 21025 + 12996 = 145^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 34021 - 2¹ = 34019 is a prime.

It is a Duffinian number.

34021 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 33989 and 34007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34031) 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 3 ways as a sum of consecutive naturals, for example, 1296 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (9163).

2³⁴⁰²¹ is an apocalyptic number.

It is an amenable number.

34021 is a deficient number, since it is larger than the sum of its proper divisors (2631).

34021 is a wasteful number, since it uses less digits than its factorization.

34021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34021 is about 184.4478246009. The cubic root of 34021 is about 32.4027864291.

Adding to 34021 its reverse (12043), we get a palindrome (46064).

It can be divided in two parts, 3402 and 1, that added together give a triangular number (3403 = T₈₂).

The spelling of 34021 in words is "thirty-four thousand, twenty-one".