61638167 has 2 divisors, whose sum is σ = 61638168. Its totient is φ = 61638166.

The previous prime is 61638149. The next prime is 61638233. The reversal of 61638167 is 76183616.

61638167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 61638167 - 2⁸ = 61637911 is a prime.

It is a super-2 number, since 2×61638167² = 7598527262239778, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 61638167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61638127) 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 as a sum of consecutive naturals, namely, 30819083 + 30819084.

It is an arithmetic number, because the mean of its divisors is an integer number (30819084).

Almost surely, 2^61638167 is an apocalyptic number.

61638167 is a deficient number, since it is larger than the sum of its proper divisors (1).

61638167 is an equidigital number, since it uses as much as digits as its factorization.

61638167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 38.

The square root of 61638167 is about 7850.9978346704. The cubic root of 61638167 is about 395.0177143153.

It can be divided in two parts, 616 and 38167, that added together give a palindrome (38783).

The spelling of 61638167 in words is "sixty-one million, six hundred thirty-eight thousand, one hundred sixty-seven".