407632117 has 2 divisors, whose sum is σ = 407632118. Its totient is φ = 407632116.

The previous prime is 407632039. The next prime is 407632123. The reversal of 407632117 is 711236704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388917841 + 18714276 = 19721^2 + 4326^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407632117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407632157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203816058 + 203816059.

It is an arithmetic number, because the mean of its divisors is an integer number (203816059).

Almost surely, 2^407632117 is an apocalyptic number.

It is an amenable number.

407632117 is a deficient number, since it is larger than the sum of its proper divisors (1).

407632117 is an equidigital number, since it uses as much as digits as its factorization.

407632117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 407632117 is about 20189.9013618195. The cubic root of 407632117 is about 741.4629671676.

The spelling of 407632117 in words is "four hundred seven million, six hundred thirty-two thousand, one hundred seventeen".