5206167 has 32 divisors (see below), whose sum is σ = 8184000. Its totient is φ = 3265920.

The previous prime is 5206163. The next prime is 5206169. The reversal of 5206167 is 7616025.

It is not a de Polignac number, because 5206167 - 2² = 5206163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

5206167 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5206167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47709 + ... + 47817.

It is an arithmetic number, because the mean of its divisors is an integer number (255750).

Almost surely, 2^5206167 is an apocalyptic number.

5206167 is a deficient number, since it is larger than the sum of its proper divisors (2977833).

5206167 is a wasteful number, since it uses less digits than its factorization.

5206167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5206167 is about 2281.7026537216. The cubic root of 5206167 is about 173.3162824286.

The spelling of 5206167 in words is "five million, two hundred six thousand, one hundred sixty-seven".