5200167 has 16 divisors (see below), whose sum is σ = 8341760. Its totient is φ = 2814912.

The previous prime is 5200163. The next prime is 5200171. The reversal of 5200167 is 7610025.

It is an interprime number because it is at equal distance from previous prime (5200163) and next prime (5200171).

It is not a de Polignac number, because 5200167 - 2² = 5200163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200163) 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 15 ways as a sum of consecutive naturals, for example, 6118 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (521360).

Almost surely, 2^5200167 is an apocalyptic number.

5200167 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

5200167 is a deficient number, since it is larger than the sum of its proper divisors (3141593).

5200167 is a wasteful number, since it uses less digits than its factorization.

5200167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13062.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5200167 is about 2280.3874670766. The cubic root of 5200167 is about 173.2496756885.

The spelling of 5200167 in words is "five million, two hundred thousand, one hundred sixty-seven".