64167 has 8 divisors (see below), whose sum is σ = 87024. Its totient is φ = 42048.

The previous prime is 64157. The next prime is 64171. The reversal of 64167 is 76146.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 64167 - 2⁴ = 64151 is a prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (10878).

2⁶⁴¹⁶⁷ is an apocalyptic number.

64167 is a deficient number, since it is larger than the sum of its proper divisors (22857).

64167 is a wasteful number, since it uses less digits than its factorization.

64167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 1008, while the sum is 24.

The square root of 64167 is about 253.3120605104. The cubic root of 64167 is about 40.0347614490.

It can be divided in two parts, 64 and 167, that added together give a triangular number (231 = T₂₁).

The spelling of 64167 in words is "sixty-four thousand, one hundred sixty-seven".