67067 has 16 divisors (see below), whose sum is σ = 91392. Its totient is φ = 47520.

The previous prime is 67061. The next prime is 67073. The reversal of 67067 is 76076.

It is an interprime number because it is at equal distance from previous prime (67061) and next prime (67073).

It is not a de Polignac number, because 67067 - 2⁶ = 67003 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (67061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

2⁶⁷⁰⁶⁷ is an apocalyptic number.

67067 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

67067 is a deficient number, since it is larger than the sum of its proper divisors (24325).

67067 is a wasteful number, since it uses less digits than its factorization.

67067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 67067 is about 258.9729715627. The cubic root of 67067 is about 40.6290149878.

Subtracting 67067 from its reverse (76076), we obtain a palindrome (9009).

It can be divided in two parts, 670 and 67, that added together give a palindrome (737).

The spelling of 67067 in words is "sixty-seven thousand, sixty-seven".