413071 has 2 divisors, whose sum is σ = 413072. Its totient is φ = 413070.

The previous prime is 413069. The next prime is 413081. The reversal of 413071 is 170314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413071 - 2¹ = 413069 is a prime.

Together with 413069, it forms a pair of twin primes.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413081) 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, 206535 + 206536.

It is an arithmetic number, because the mean of its divisors is an integer number (206536).

2⁴¹³⁰⁷¹ is an apocalyptic number.

413071 is a deficient number, since it is larger than the sum of its proper divisors (1).

413071 is an equidigital number, since it uses as much as digits as its factorization.

413071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 413071 is about 642.7059981049. The cubic root of 413071 is about 74.4746096081.

Adding to 413071 its reverse (170314), we get a palindrome (583385).

The spelling of 413071 in words is "four hundred thirteen thousand, seventy-one".