2167875 has 48 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 1104000.

The previous prime is 2167873. The next prime is 2167883. The reversal of 2167875 is 5787612.

It is not a de Polignac number, because 2167875 - 2¹ = 2167873 is a prime.

It is an Ulam number.

Its product of digits (23520) is a multiple of the sum of its prime divisors (96).

2167875 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2167873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46102 + ... + 46148.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

2^2167875 is an apocalyptic number.

2167875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2167875 is a deficient number, since it is larger than the sum of its proper divisors (1920573).

2167875 is a wasteful number, since it uses less digits than its factorization.

2167875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 2167875 is about 1472.3705376025. The cubic root of 2167875 is about 129.4229850707.

It can be divided in two parts, 21 and 67875, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 2167875 in words is "two million, one hundred sixty-seven thousand, eight hundred seventy-five".