2182131 has 24 divisors (see below), whose sum is σ = 3793920. Its totient is φ = 1180656.

The previous prime is 2182129. The next prime is 2182133. The reversal of 2182131 is 1312812.

2182131 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2182129) and next prime (2182133).

It is not a de Polignac number, because 2182131 - 2¹ = 2182129 is a prime.

It is a super-2 number, since 2×2182131² = 9523391402322, which contains 22 as substring.

2182131 is strictly pandigital in base 8.

2182131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2182133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (158080).

2^2182131 is an apocalyptic number.

2182131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2182131 is a deficient number, since it is larger than the sum of its proper divisors (1611789).

2182131 is a wasteful number, since it uses less digits than its factorization.

2182131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1852 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2182131 is about 1477.2037774119. The cubic root of 2182131 is about 129.7060617260.

Adding to 2182131 its reverse (1312812), we get a palindrome (3494943).

The spelling of 2182131 in words is "two million, one hundred eighty-two thousand, one hundred thirty-one".