34201 has 4 divisors (see below), whose sum is σ = 35712. Its totient is φ = 32692.

The previous prime is 34183. The next prime is 34211. The reversal of 34201 is 10243.

It is the 76-th star number.

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.

It is a cyclic number.

It is not a de Polignac number, because 34201 - 2¹⁵ = 1433 is a prime.

It is a Duffinian number.

34201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (34211) 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, 721 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2³⁴²⁰¹ is an apocalyptic number.

It is an amenable number.

34201 is a deficient number, since it is larger than the sum of its proper divisors (1511).

34201 is a wasteful number, since it uses less digits than its factorization.

34201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510.

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

The square root of 34201 is about 184.9351237597. The cubic root of 34201 is about 32.4598320322.

Subtracting from 34201 its sum of digits (10), we obtain a triangular number (34191 = T₂₆₁).

Adding to 34201 its product of nonzero digits (24), we get a square (34225 = 185²).

Adding to 34201 its reverse (10243), we get a palindrome (44444).

The spelling of 34201 in words is "thirty-four thousand, two hundred one".