67112001 has 24 divisors (see below), whose sum is σ = 107103360. Its totient is φ = 40154400.

The previous prime is 67111987. The next prime is 67112011. The reversal of 67112001 is 10021176.

It is not a de Polignac number, because 67112001 - 2⁹ = 67111489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67112011) 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 23 ways as a sum of consecutive naturals, for example, 3531 + ... + 12111.

It is an arithmetic number, because the mean of its divisors is an integer number (4462640).

Almost surely, 2^67112001 is an apocalyptic number.

It is an amenable number.

67112001 is a deficient number, since it is larger than the sum of its proper divisors (39991359).

67112001 is a wasteful number, since it uses less digits than its factorization.

67112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 67112001 is about 8192.1914650477. The cubic root of 67112001 is about 406.3810011921.

Adding to 67112001 its reverse (10021176), we get a palindrome (77133177).

The spelling of 67112001 in words is "sixty-seven million, one hundred twelve thousand, one".