401417 has 2 divisors, whose sum is σ = 401418. Its totient is φ = 401416.

The previous prime is 401411. The next prime is 401473. The reversal of 401417 is 714104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395641 + 5776 = 629^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 401417 - 2⁸ = 401161 is a prime.

It is a super-2 number, since 2×401417² = 322271215778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401395 and 401404.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401417.

It is not a weakly prime, because it can be changed into another prime (401411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200708 + 200709.

It is an arithmetic number, because the mean of its divisors is an integer number (200709).

2⁴⁰¹⁴¹⁷ is an apocalyptic number.

It is an amenable number.

401417 is a deficient number, since it is larger than the sum of its proper divisors (1).

401417 is an equidigital number, since it uses as much as digits as its factorization.

401417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 401417 is about 633.5747785384. The cubic root of 401417 is about 73.7675319806.

It can be divided in two parts, 401 and 417, that added together give a palindrome (818).

The spelling of 401417 in words is "four hundred one thousand, four hundred seventeen", and thus it is an iban number.