167823 has 12 divisors (see below), whose sum is σ = 251160. Its totient is φ = 107856.

The previous prime is 167809. The next prime is 167861. The reversal of 167823 is 328761.

It is not a de Polignac number, because 167823 - 2⁶ = 167759 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (20930).

2¹⁶⁷⁸²³ is an apocalyptic number.

167823 is a deficient number, since it is larger than the sum of its proper divisors (83337).

167823 is a wasteful number, since it uses less digits than its factorization.

167823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 167823 is about 409.6620558460. The cubic root of 167823 is about 55.1590985603.

It can be divided in two parts, 167 and 823, that added together give a triangular number (990 = T₄₄).

The spelling of 167823 in words is "one hundred sixty-seven thousand, eight hundred twenty-three".