828167 has 4 divisors (see below), whose sum is σ = 834816. Its totient is φ = 821520.

The previous prime is 828133. The next prime is 828169. The reversal of 828167 is 761828.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 828167 - 2¹⁰ = 827143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3134 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (208704).

828167 is a Friedman number, since it can be written as 68^2+7^(8-1), using all its digits and the basic arithmetic operations.

2⁸²⁸¹⁶⁷ is an apocalyptic number.

828167 is a deficient number, since it is larger than the sum of its proper divisors (6649).

828167 is a wasteful number, since it uses less digits than its factorization.

828167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648.

The product of its digits is 5376, while the sum is 32.

The square root of 828167 is about 910.0368124422. The cubic root of 828167 is about 93.9087313910.

The spelling of 828167 in words is "eight hundred twenty-eight thousand, one hundred sixty-seven".