2067975 has 72 divisors (see below), whose sum is σ = 4603872. Its totient is φ = 864000.

The previous prime is 2067937. The next prime is 2067977. The reversal of 2067975 is 5797602.

It is not a de Polignac number, because 2067975 - 2⁶ = 2067911 is a prime.

2067975 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20425 + ... + 20525.

2^2067975 is an apocalyptic number.

2067975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2067975 is an abundant number, since it is smaller than the sum of its proper divisors (2535897).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2067975 is a wasteful number, since it uses less digits than its factorization.

2067975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2067975 is about 1438.0455486528. The cubic root of 2067975 is about 127.4036180478.

The spelling of 2067975 in words is "two million, sixty-seven thousand, nine hundred seventy-five".