46167 has 8 divisors (see below), whose sum is σ = 67200. Its totient is φ = 27960.

The previous prime is 46153. The next prime is 46171. The reversal of 46167 is 76164.

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

It is not a de Polignac number, because 46167 - 2⁶ = 46103 is a prime.

46167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁴⁶¹⁶⁷ is an apocalyptic number.

46167 is a deficient number, since it is larger than the sum of its proper divisors (21033).

46167 is a wasteful number, since it uses less digits than its factorization.

46167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413.

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

The square root of 46167 is about 214.8650739418. The cubic root of 46167 is about 35.8737864158.

It can be divided in two parts, 461 and 67, that added together give a triangular number (528 = T₃₂).

The spelling of 46167 in words is "forty-six thousand, one hundred sixty-seven".