67201 has 8 divisors (see below), whose sum is σ = 73440. Its totient is φ = 61248.

The previous prime is 67189. The next prime is 67211. The reversal of 67201 is 10276.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67201 - 2⁵ = 67169 is a prime.

It is an Ulam number.

67201 is a modest number, since divided by 201 gives 67 as remainder.

It is not an unprimeable number, because it can be changed into a prime (67211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 1036.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2⁶⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

67201 is a deficient number, since it is larger than the sum of its proper divisors (6239).

67201 is a wasteful number, since it uses less digits than its factorization.

67201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 67201 is about 259.2315567210. The cubic root of 67201 is about 40.6560559375.

Adding to 67201 its reverse (10276), we get a palindrome (77477).

The spelling of 67201 in words is "sixty-seven thousand, two hundred one".