401517 has 10 divisors (see below), whose sum is σ = 599918. Its totient is φ = 267624.

The previous prime is 401507. The next prime is 401519. The reversal of 401517 is 715104.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 15876 = 621^2 + 126^2 .

It is a de Polignac number, because none of the positive numbers 2^k-401517 is a prime.

It is a super-2 number, since 2×401517² = 322431802578, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401517.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401517.

It is not an unprimeable number, because it can be changed into a prime (401519) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2398 + ... + 2559.

2⁴⁰¹⁵¹⁷ is an apocalyptic number.

It is an amenable number.

401517 is a deficient number, since it is larger than the sum of its proper divisors (198401).

401517 is an equidigital number, since it uses as much as digits as its factorization.

401517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 401517 is about 633.6536909069. The cubic root of 401517 is about 73.7736570664.

The spelling of 401517 in words is "four hundred one thousand, five hundred seventeen".