412181 has 16 divisors (see below), whose sum is σ = 528768. Its totient is φ = 312000.

The previous prime is 412171. The next prime is 412187. The reversal of 412181 is 181214.

It is a cyclic number.

It is not a de Polignac number, because 412181 - 2¹⁰ = 411157 is a prime.

It is a super-2 number, since 2×412181² = 339786353522, which contains 22 as substring.

It is an Ulam number.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4031 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (33048).

2⁴¹²¹⁸¹ is an apocalyptic number.

412181 is the 371-st octagonal number.

It is an amenable number.

412181 is a deficient number, since it is larger than the sum of its proper divisors (116587).

412181 is a wasteful number, since it uses less digits than its factorization.

412181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

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

The square root of 412181 is about 642.0132397389. The cubic root of 412181 is about 74.4210836497.

Subtracting from 412181 its sum of digits (17), we obtain a square (412164 = 642²).

Adding to 412181 its reverse (181214), we get a palindrome (593395).

It can be divided in two parts, 41 and 2181, that added together give a palindrome (2222).

The spelling of 412181 in words is "four hundred twelve thousand, one hundred eighty-one".