401627 has 2 divisors, whose sum is σ = 401628. Its totient is φ = 401626.

The previous prime is 401593. The next prime is 401629. The reversal of 401627 is 726104.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 401627 - 2⁸ = 401371 is a prime.

It is a super-2 number, since 2×401627² = 322608494258, which contains 22 as substring.

Together with 401629, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 401599 and 401608.

It is not a weakly prime, because it can be changed into another prime (401629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200813 + 200814.

It is an arithmetic number, because the mean of its divisors is an integer number (200814).

2⁴⁰¹⁶²⁷ is an apocalyptic number.

401627 is a deficient number, since it is larger than the sum of its proper divisors (1).

401627 is an equidigital number, since it uses as much as digits as its factorization.

401627 is an odious number, because the sum of its binary digits is odd.

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

The square root of 401627 is about 633.7404831633. The cubic root of 401627 is about 73.7803934863.

The spelling of 401627 in words is "four hundred one thousand, six hundred twenty-seven".