67005081 has 36 divisors (see below), whose sum is σ = 114591204. Its totient is φ = 37477440.

The previous prime is 67005067. The next prime is 67005119. The reversal of 67005081 is 18050076.

It can be written as a sum of positive squares in 2 ways, for example, as 10890000 + 56115081 = 3300^2 + 7491^2 .

It is not a de Polignac number, because 67005081 - 2⁶ = 67005017 is a prime.

It is a super-2 number, since 2×67005081² = 8979361759633122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67005011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11791 + ... + 16523.

It is an arithmetic number, because the mean of its divisors is an integer number (3183089).

Almost surely, 2^67005081 is an apocalyptic number.

It is an amenable number.

67005081 is a deficient number, since it is larger than the sum of its proper divisors (47586123).

67005081 is a wasteful number, since it uses less digits than its factorization.

67005081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 67005081 is about 8185.6631374617. The cubic root of 67005081 is about 406.1650768129.

It can be divided in two parts, 6700 and 5081, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 67005081 in words is "sixty-seven million, five thousand, eighty-one".