181413 has 8 divisors (see below), whose sum is σ = 268800. Its totient is φ = 120924.

The previous prime is 181409. The next prime is 181421. The reversal of 181413 is 314181.

181413 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 181413 - 2² = 181409 is a prime.

181413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181213) 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, 3333 + ... + 3386.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2¹⁸¹⁴¹³ is an apocalyptic number.

It is an amenable number.

181413 is a deficient number, since it is larger than the sum of its proper divisors (87387).

181413 is an equidigital number, since it uses as much as digits as its factorization.

181413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6722 counting only the distinct ones).

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

The square root of 181413 is about 425.9260499195. The cubic root of 181413 is about 56.6095194733.

Adding to 181413 its reverse (314181), we get a palindrome (495594).

It can be divided in two parts, 18 and 1413, that added together give a triangular number (1431 = T₅₃).

The spelling of 181413 in words is "one hundred eighty-one thousand, four hundred thirteen".