4001627 has 8 divisors (see below), whose sum is σ = 4670976. Its totient is φ = 3356712.

The previous prime is 4001617. The next prime is 4001629. The reversal of 4001627 is 7261004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4001627 - 2⁴ = 4001611 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4001599 and 4001608.

It is not an unprimeable number, because it can be changed into a prime (4001629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5753 + ... + 6410.

It is an arithmetic number, because the mean of its divisors is an integer number (583872).

Almost surely, 2^4001627 is an apocalyptic number.

4001627 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4001627 is a deficient number, since it is larger than the sum of its proper divisors (669349).

4001627 is a wasteful number, since it uses less digits than its factorization.

4001627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4001627 is about 2000.4067086470. The cubic root of 4001627 is about 158.7616247920.

The spelling of 4001627 in words is "four million, one thousand, six hundred twenty-seven".