427813 has 2 divisors, whose sum is σ = 427814. Its totient is φ = 427812.

The previous prime is 427789. The next prime is 427849. The reversal of 427813 is 318724.

427813 = 462² + 463².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214369 + 213444 = 463^2 + 462^2 .

It is a cyclic number.

It is not a de Polignac number, because 427813 - 2⁵ = 427781 is a prime.

427813 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213906 + 213907.

It is an arithmetic number, because the mean of its divisors is an integer number (213907).

2⁴²⁷⁸¹³ is an apocalyptic number.

427813 is the 463-rd centered square number.

It is an amenable number.

427813 is a deficient number, since it is larger than the sum of its proper divisors (1).

427813 is an equidigital number, since it uses as much as digits as its factorization.

427813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 25.

The square root of 427813 is about 654.0741548173. The cubic root of 427813 is about 75.3502433302.

The spelling of 427813 in words is "four hundred twenty-seven thousand, eight hundred thirteen".