20642167 has 12 divisors (see below), whose sum is σ = 25546800. Its totient is φ = 16331328.

The previous prime is 20642161. The next prime is 20642173. The reversal of 20642167 is 76124602.

It is an interprime number because it is at equal distance from previous prime (20642161) and next prime (20642173).

It is not a de Polignac number, because 20642167 - 2¹¹ = 20640119 is a prime.

It is a super-4 number, since 4×20642167⁴ (a number of 30 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20642161) 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 in 11 ways as a sum of consecutive naturals, for example, 7542 + ... + 9907.

It is an arithmetic number, because the mean of its divisors is an integer number (2128900).

Almost surely, 2^20642167 is an apocalyptic number.

20642167 is a deficient number, since it is larger than the sum of its proper divisors (4904633).

20642167 is a wasteful number, since it uses less digits than its factorization.

20642167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17482 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 20642167 is about 4543.3651625200. The cubic root of 20642167 is about 274.3163935307.

Adding to 20642167 its reverse (76124602), we get a palindrome (96766769).

The spelling of 20642167 in words is "twenty million, six hundred forty-two thousand, one hundred sixty-seven".