167874 has 24 divisors (see below), whose sum is σ = 391248. Its totient is φ = 47880.

The previous prime is 167873. The next prime is 167879. The reversal of 167874 is 478761.

167874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (167873) 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, 9 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (16302).

2¹⁶⁷⁸⁷⁴ is an apocalyptic number.

167874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 167874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195624).

167874 is an abundant number, since it is smaller than the sum of its proper divisors (223374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167874 is a wasteful number, since it uses less digits than its factorization.

167874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 167874 is about 409.7242975465. The cubic root of 167874 is about 55.1646854566.

The spelling of 167874 in words is "one hundred sixty-seven thousand, eight hundred seventy-four".