405117 has 6 divisors (see below), whose sum is σ = 585182. Its totient is φ = 270072.

The previous prime is 405091. The next prime is 405143. The reversal of 405117 is 711504.

It is an interprime number because it is at equal distance from previous prime (405091) and next prime (405143).

It can be written as a sum of positive squares in only one way, i.e., 236196 + 168921 = 486^2 + 411^2 .

It is not a de Polignac number, because 405117 - 2¹⁸ = 142973 is a prime.

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 405117.

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 405117.

It is not an unprimeable number, because it can be changed into a prime (405157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22498 + ... + 22515.

2⁴⁰⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

405117 is a deficient number, since it is larger than the sum of its proper divisors (180065).

405117 is a wasteful number, since it uses less digits than its factorization.

405117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45019 (or 45016 counting only the distinct ones).

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

The square root of 405117 is about 636.4880203115. The cubic root of 405117 is about 73.9934861566.

The spelling of 405117 in words is "four hundred five thousand, one hundred seventeen".