67085001 has 24 divisors (see below), whose sum is σ = 98419464. Its totient is φ = 44029440.

The previous prime is 67084993. The next prime is 67085003. The reversal of 67085001 is 10058076.

It can be written as a sum of positive squares in 4 ways, for example, as 30470400 + 36614601 = 5520^2 + 6051^2 .

It is not a de Polignac number, because 67085001 - 2³ = 67084993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67085003) 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 23 ways as a sum of consecutive naturals, for example, 278241 + ... + 278481.

It is an arithmetic number, because the mean of its divisors is an integer number (4100811).

Almost surely, 2^67085001 is an apocalyptic number.

It is an amenable number.

67085001 is a deficient number, since it is larger than the sum of its proper divisors (31334463).

67085001 is a wasteful number, since it uses less digits than its factorization.

67085001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

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

The square root of 67085001 is about 8190.5433885671. The cubic root of 67085001 is about 406.3264964903.

The spelling of 67085001 in words is "sixty-seven million, eighty-five thousand, one".