820413 has 12 divisors (see below), whose sum is σ = 1292928. Its totient is φ = 497160.

The previous prime is 820411. The next prime is 820427. The reversal of 820413 is 314028.

It is a happy number.

820413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820413 - 2¹ = 820411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4045 + ... + 4242.

It is an arithmetic number, because the mean of its divisors is an integer number (107744).

2⁸²⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

820413 is a deficient number, since it is larger than the sum of its proper divisors (472515).

820413 is a wasteful number, since it uses less digits than its factorization.

820413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 820413 is about 905.7665262086. The cubic root of 820413 is about 93.6147275752.

The spelling of 820413 in words is "eight hundred twenty thousand, four hundred thirteen".