181412 has 48 divisors (see below), whose sum is σ = 430080. Its totient is φ = 64800.

The previous prime is 181409. The next prime is 181421. The reversal of 181412 is 214181.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 181412.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5837 + ... + 5867.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2¹⁸¹⁴¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040).

181412 is an abundant number, since it is smaller than the sum of its proper divisors (248668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181412 is a wasteful number, since it uses less digits than its factorization.

181412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 181412 is about 425.9248760051. The cubic root of 181412 is about 56.6094154572.

Adding to 181412 its product of digits (64), we get a square (181476 = 426²).

Adding to 181412 its reverse (214181), we get a palindrome (395593).

The spelling of 181412 in words is "one hundred eighty-one thousand, four hundred twelve".