401017 has 2 divisors, whose sum is σ = 401018. Its totient is φ = 401016.

The previous prime is 400997. The next prime is 401029. The reversal of 401017 is 710104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 15376 = 621^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 401017 - 2¹¹ = 398969 is a prime.

It is a Chen prime.

401017 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 400988 and 401006.

It is not a weakly prime, because it can be changed into another prime (401057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200508 + 200509.

It is an arithmetic number, because the mean of its divisors is an integer number (200509).

2⁴⁰¹⁰¹⁷ is an apocalyptic number.

It is an amenable number.

401017 is a deficient number, since it is larger than the sum of its proper divisors (1).

401017 is an equidigital number, since it uses as much as digits as its factorization.

401017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 401017 is about 633.2590307291. The cubic root of 401017 is about 73.7430214598.

The spelling of 401017 in words is "four hundred one thousand, seventeen", and thus it is an iban number.