4200167 has 2 divisors, whose sum is σ = 4200168. Its totient is φ = 4200166.

The previous prime is 4200149. The next prime is 4200187. The reversal of 4200167 is 7610024.

It is an a-pointer prime, because the next prime (4200187) can be obtained adding 4200167 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4200167 - 2⁶ = 4200103 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4200127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100083 + 2100084.

It is an arithmetic number, because the mean of its divisors is an integer number (2100084).

Almost surely, 2^4200167 is an apocalyptic number.

4200167 is a deficient number, since it is larger than the sum of its proper divisors (1).

4200167 is an equidigital number, since it uses as much as digits as its factorization.

4200167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4200167 is about 2049.4308966150. The cubic root of 4200167 is about 161.3450030073.

The spelling of 4200167 in words is "four million, two hundred thousand, one hundred sixty-seven".