401029 has 2 divisors, whose sum is σ = 401030. Its totient is φ = 401028.

The previous prime is 401017. The next prime is 401039. The reversal of 401029 is 920104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390625 + 10404 = 625^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 401029 - 2⁵ = 400997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200514 + 200515.

It is an arithmetic number, because the mean of its divisors is an integer number (200515).

2⁴⁰¹⁰²⁹ is an apocalyptic number.

It is an amenable number.

401029 is a deficient number, since it is larger than the sum of its proper divisors (1).

401029 is an equidigital number, since it uses as much as digits as its factorization.

401029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 401029 is about 633.2685054540. The cubic root of 401029 is about 73.7437570125.

The spelling of 401029 in words is "four hundred one thousand, twenty-nine".