167828 has 6 divisors (see below), whose sum is σ = 293706. Its totient is φ = 83912.

The previous prime is 167809. The next prime is 167861. The reversal of 167828 is 828761.

167828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 145924 + 21904 = 382^2 + 148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 167794 and 167803.

It is a congruent number.

It is an unprimeable number.

167828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20975 + ... + 20982.

It is an arithmetic number, because the mean of its divisors is an integer number (48951).

2¹⁶⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

167828 is a deficient number, since it is larger than the sum of its proper divisors (125878).

167828 is a wasteful number, since it uses less digits than its factorization.

167828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41961 (or 41959 counting only the distinct ones).

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

The square root of 167828 is about 409.6681583916. The cubic root of 167828 is about 55.1596463453.

The spelling of 167828 in words is "one hundred sixty-seven thousand, eight hundred twenty-eight".