406295167 has 2 divisors, whose sum is σ = 406295168. Its totient is φ = 406295166.

The previous prime is 406295147. The next prime is 406295173. The reversal of 406295167 is 761592604.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 406295167 - 2¹¹ = 406293119 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406295147) 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, 203147583 + 203147584.

It is an arithmetic number, because the mean of its divisors is an integer number (203147584).

Almost surely, 2^406295167 is an apocalyptic number.

406295167 is a deficient number, since it is larger than the sum of its proper divisors (1).

406295167 is an equidigital number, since it uses as much as digits as its factorization.

406295167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 406295167 is about 20156.7647949764. The cubic root of 406295167 is about 740.6514636867.

It can be divided in two parts, 40629 and 5167, that added together give a square (45796 = 214²).

The spelling of 406295167 in words is "four hundred six million, two hundred ninety-five thousand, one hundred sixty-seven".