828413 has 4 divisors (see below), whose sum is σ = 855168. Its totient is φ = 801660.

The previous prime is 828409. The next prime is 828431. The reversal of 828413 is 314828.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 828413 - 2² = 828409 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13331 + ... + 13392.

It is an arithmetic number, because the mean of its divisors is an integer number (213792).

2⁸²⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

828413 is a deficient number, since it is larger than the sum of its proper divisors (26755).

828413 is a wasteful number, since it uses less digits than its factorization.

828413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754.

The product of its digits is 1536, while the sum is 26.

The square root of 828413 is about 910.1719617743. The cubic root of 828413 is about 93.9180287352.

The spelling of 828413 in words is "eight hundred twenty-eight thousand, four hundred thirteen".