413027 has 2 divisors, whose sum is σ = 413028. Its totient is φ = 413026.

The previous prime is 413009. The next prime is 413033. The reversal of 413027 is 720314.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413027 - 2⁸ = 412771 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 412996 and 413014.

It is not a weakly prime, because it can be changed into another prime (413087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206513 + 206514.

It is an arithmetic number, because the mean of its divisors is an integer number (206514).

2⁴¹³⁰²⁷ is an apocalyptic number.

413027 is a deficient number, since it is larger than the sum of its proper divisors (1).

413027 is an equidigital number, since it uses as much as digits as its factorization.

413027 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 413027 is about 642.6717669231. The cubic root of 413027 is about 74.4719651885.

It can be divided in two parts, 4 and 13027, that added together give a palindrome (13031).

The spelling of 413027 in words is "four hundred thirteen thousand, twenty-seven".