472167 has 12 divisors (see below), whose sum is σ = 711984. Its totient is φ = 300960.

The previous prime is 472163. The next prime is 472189. The reversal of 472167 is 761274.

It is not a de Polignac number, because 472167 - 2² = 472163 is a prime.

It is an Ulam number.

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 472167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472163) 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 11 ways as a sum of consecutive naturals, for example, 934 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (59332).

2⁴⁷²¹⁶⁷ is an apocalyptic number.

472167 is a deficient number, since it is larger than the sum of its proper divisors (239817).

472167 is a wasteful number, since it uses less digits than its factorization.

472167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2307 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 472167 is about 687.1440896930. The cubic root of 472167 is about 77.8691098675.

The spelling of 472167 in words is "four hundred seventy-two thousand, one hundred sixty-seven".