412131 has 8 divisors (see below), whose sum is σ = 581904. Its totient is φ = 258560.

The previous prime is 412127. The next prime is 412133. The reversal of 412131 is 131214.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 412131 - 2² = 412127 is a prime.

It is a super-2 number, since 2×412131² = 339703922322, which contains 22 as substring.

412131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (412133) 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, 3990 + ... + 4091.

It is an arithmetic number, because the mean of its divisors is an integer number (72738).

2⁴¹²¹³¹ is an apocalyptic number.

412131 is a deficient number, since it is larger than the sum of its proper divisors (169773).

412131 is a wasteful number, since it uses less digits than its factorization.

412131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101.

The product of its digits is 24, while the sum is 12.

The square root of 412131 is about 641.9742985510. The cubic root of 412131 is about 74.4180742884.

Adding to 412131 its reverse (131214), we get a palindrome (543345).

It can be divided in two parts, 41213 and 1, that added together give a palindrome (41214).

The spelling of 412131 in words is "four hundred twelve thousand, one hundred thirty-one".