67001 has 4 divisors (see below), whose sum is σ = 73104. Its totient is φ = 60900.

The previous prime is 66977. The next prime is 67003. The reversal of 67001 is 10076.

It is a happy 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 a de Polignac number, because none of the positive numbers 2^k-67001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3035 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (18276).

2⁶⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

67001 is a deficient number, since it is larger than the sum of its proper divisors (6103).

67001 is a wasteful number, since it uses less digits than its factorization.

67001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 67001 is about 258.8455137722. The cubic root of 67001 is about 40.6156830705.

Adding to 67001 its reverse (10076), we get a palindrome (77077).

It can be divided in two parts, 6 and 7001, that added together give a palindrome (7007).

The spelling of 67001 in words is "sixty-seven thousand, one".