4006975 has 18 divisors (see below), whose sum is σ = 5781624. Its totient is φ = 2746800.

The previous prime is 4006969. The next prime is 4006979. The reversal of 4006975 is 5796004.

It is not a de Polignac number, because 4006975 - 2⁹ = 4006463 is a prime.

It is a Duffinian number.

4006975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006979) 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 17 ways as a sum of consecutive naturals, for example, 411 + ... + 2860.

Almost surely, 2^4006975 is an apocalyptic number.

4006975 is a deficient number, since it is larger than the sum of its proper divisors (1774649).

4006975 is a wasteful number, since it uses less digits than its factorization.

4006975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 4006975 is about 2001.7429904960. The cubic root of 4006975 is about 158.8323193043.

The spelling of 4006975 in words is "four million, six thousand, nine hundred seventy-five".