414331 has 2 divisors, whose sum is σ = 414332. Its totient is φ = 414330.

The previous prime is 414329. The next prime is 414347. The reversal of 414331 is 133414.

It is an a-pointer prime, because the next prime (414347) can be obtained adding 414331 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414331 - 2¹ = 414329 is a prime.

It is a super-2 number, since 2×414331² = 343340355122, which contains 22 as substring.

Together with 414329, it forms a pair of twin primes.

414331 is a lucky number.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (414311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207165 + 207166.

It is an arithmetic number, because the mean of its divisors is an integer number (207166).

2⁴¹⁴³³¹ is an apocalyptic number.

414331 is a deficient number, since it is larger than the sum of its proper divisors (1).

414331 is an equidigital number, since it uses as much as digits as its factorization.

414331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 16.

The square root of 414331 is about 643.6854822038. The cubic root of 414331 is about 74.5502566174.

Adding to 414331 its reverse (133414), we get a palindrome (547745).

The spelling of 414331 in words is "four hundred fourteen thousand, three hundred thirty-one".