405117167 has 12 divisors (see below), whose sum is σ = 501346800. Its totient is φ = 320531328.

The previous prime is 405117151. The next prime is 405117169. The reversal of 405117167 is 761711504.

It is not a de Polignac number, because 405117167 - 2⁴ = 405117151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405117169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170042 + ... + 172407.

It is an arithmetic number, because the mean of its divisors is an integer number (41778900).

Almost surely, 2^405117167 is an apocalyptic number.

405117167 is a deficient number, since it is larger than the sum of its proper divisors (96229633).

405117167 is a wasteful number, since it uses less digits than its factorization.

405117167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342482 (or 342469 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 405117167 is about 20127.5226245060. The cubic root of 405117167 is about 739.9349632397.

The spelling of 405117167 in words is "four hundred five million, one hundred seventeen thousand, one hundred sixty-seven".