4000627 has 12 divisors (see below), whose sum is σ = 4322560. Its totient is φ = 3701376.

The previous prime is 4000589. The next prime is 4000631. The reversal of 4000627 is 7260004.

It is a de Polignac number, because none of the positive numbers 2^k-4000627 is a prime.

It is a Duffinian number.

4000627 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4010627) 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 11 ways as a sum of consecutive naturals, for example, 31438 + ... + 31564.

Almost surely, 2^4000627 is an apocalyptic number.

4000627 is a deficient number, since it is larger than the sum of its proper divisors (321933).

4000627 is a wasteful number, since it uses less digits than its factorization.

4000627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 4000627 is about 2000.1567438578. The cubic root of 4000627 is about 158.7483989340.

The spelling of 4000627 in words is "four million, six hundred twenty-seven", and thus it is an aban number.