67985001 has 40 divisors (see below), whose sum is σ = 118483200. Its totient is φ = 38832696.

The previous prime is 67984999. The next prime is 67985003. The reversal of 67985001 is 10058976.

67985001 is a `hidden beast` number, since 67 + 98 + 500 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (67984999) and next prime (67985003).

It is not a de Polignac number, because 67985001 - 2¹ = 67984999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67985003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26560 + ... + 29006.

It is an arithmetic number, because the mean of its divisors is an integer number (2962080).

Almost surely, 2^67985001 is an apocalyptic number.

It is an amenable number.

67985001 is a deficient number, since it is larger than the sum of its proper divisors (50498199).

67985001 is an equidigital number, since it uses as much as digits as its factorization.

67985001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 67985001 is about 8245.3017531198. The cubic root of 67985001 is about 408.1354978159.

The spelling of 67985001 in words is "sixty-seven million, nine hundred eighty-five thousand, one".