401617 has 4 divisors (see below), whose sum is σ = 403380. Its totient is φ = 399856.

The previous prime is 401593. The next prime is 401627. The reversal of 401617 is 716104.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 221841 = 424^2 + 471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401617 is a prime.

It is a super-2 number, since 2×401617² = 322592429378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401594 and 401603.

It is not an unprimeable number, because it can be changed into a prime (401627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (100845).

2⁴⁰¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

401617 is a deficient number, since it is larger than the sum of its proper divisors (1763).

401617 is a wasteful number, since it uses less digits than its factorization.

401617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 401617 is about 633.7325934493. The cubic root of 401617 is about 73.7797811353.

The spelling of 401617 in words is "four hundred one thousand, six hundred seventeen".