182121 has 8 divisors (see below), whose sum is σ = 257184. Its totient is φ = 114240.

The previous prime is 182111. The next prime is 182123. The reversal of 182121 is 121281.

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

It is not a de Polignac number, because 182121 - 2⁵ = 182089 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 182121.

It is not an unprimeable number, because it can be changed into a prime (182123) 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, 1735 + ... + 1836.

It is an arithmetic number, because the mean of its divisors is an integer number (32148).

2¹⁸²¹²¹ is an apocalyptic number.

It is an amenable number.

182121 is a deficient number, since it is larger than the sum of its proper divisors (75063).

182121 is a wasteful number, since it uses less digits than its factorization.

182121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591.

The product of its digits is 32, while the sum is 15.

The square root of 182121 is about 426.7563707785. The cubic root of 182121 is about 56.6830671483.

Subtracting from 182121 its sum of digits (15), we obtain a triangular number (182106 = T₆₀₃).

It can be divided in two parts, 182 and 121, that multiplied together give a palindrome (22022).

The spelling of 182121 in words is "one hundred eighty-two thousand, one hundred twenty-one".