401351627 has 2 divisors, whose sum is σ = 401351628. Its totient is φ = 401351626.

The previous prime is 401351603. The next prime is 401351647. The reversal of 401351627 is 726153104.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 401351627 - 2¹⁴ = 401335243 is a prime.

It is a super-2 number, since 2×401351627² = 322166256991094258, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401351627.

It is not a weakly prime, because it can be changed into another prime (401351647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200675813 + 200675814.

It is an arithmetic number, because the mean of its divisors is an integer number (200675814).

Almost surely, 2^401351627 is an apocalyptic number.

401351627 is a deficient number, since it is larger than the sum of its proper divisors (1).

401351627 is an equidigital number, since it uses as much as digits as its factorization.

401351627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 401351627 is about 20033.7621778836. The cubic root of 401351627 is about 737.6352727831.

The spelling of 401351627 in words is "four hundred one million, three hundred fifty-one thousand, six hundred twenty-seven".