401629 has 2 divisors, whose sum is σ = 401630. Its totient is φ = 401628.

The previous prime is 401627. The next prime is 401651. The reversal of 401629 is 926104.

It is an a-pointer prime, because the next prime (401651) can be obtained adding 401629 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324900 + 76729 = 570^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 401629 - 2¹ = 401627 is a prime.

It is a super-2 number, since 2×401629² = 322611707282, which contains 22 as substring.

Together with 401627, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200814 + 200815.

It is an arithmetic number, because the mean of its divisors is an integer number (200815).

2⁴⁰¹⁶²⁹ is an apocalyptic number.

It is an amenable number.

401629 is a deficient number, since it is larger than the sum of its proper divisors (1).

401629 is an equidigital number, since it uses as much as digits as its factorization.

401629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 401629 is about 633.7420610943. The cubic root of 401629 is about 73.7805159552.

The spelling of 401629 in words is "four hundred one thousand, six hundred twenty-nine".