405832117 has 2 divisors, whose sum is σ = 405832118. Its totient is φ = 405832116.

The previous prime is 405832103. The next prime is 405832157. The reversal of 405832117 is 711238504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254689681 + 151142436 = 15959^2 + 12294^2 .

It is a cyclic number.

It is not a de Polignac number, because 405832117 - 2⁷ = 405831989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405832157) 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, 202916058 + 202916059.

It is an arithmetic number, because the mean of its divisors is an integer number (202916059).

Almost surely, 2^405832117 is an apocalyptic number.

It is an amenable number.

405832117 is a deficient number, since it is larger than the sum of its proper divisors (1).

405832117 is an equidigital number, since it uses as much as digits as its factorization.

405832117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 405832117 is about 20145.2753021645. The cubic root of 405832117 is about 740.3699860326.

The spelling of 405832117 in words is "four hundred five million, eight hundred thirty-two thousand, one hundred seventeen".