404742167 has 2 divisors, whose sum is σ = 404742168. Its totient is φ = 404742166.

The previous prime is 404742139. The next prime is 404742181. The reversal of 404742167 is 761247404.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 404742167 - 2²⁸ = 136306711 is a prime.

It is equal to p_21575546 and since 404742167 and 21575546 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404742367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202371083 + 202371084.

It is an arithmetic number, because the mean of its divisors is an integer number (202371084).

Almost surely, 2^404742167 is an apocalyptic number.

404742167 is a deficient number, since it is larger than the sum of its proper divisors (1).

404742167 is an equidigital number, since it uses as much as digits as its factorization.

404742167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 404742167 is about 20118.2048652458. The cubic root of 404742167 is about 739.7065838195.

The spelling of 404742167 in words is "four hundred four million, seven hundred forty-two thousand, one hundred sixty-seven".