167442 has 32 divisors (see below), whose sum is σ = 380160. Its totient is φ = 48720.

The previous prime is 167441. The next prime is 167443. The reversal of 167442 is 244761.

It is an interprime number because it is at equal distance from previous prime (167441) and next prime (167443).

It is a super-3 number, since 3×167442³ = 14083625333144664, which contains 333 as substring.

It is a d-powerful number, because it can be written as 1 + 6⁶ + 4³ + 7⁶ + 4⁵ + 2¹¹ .

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (167441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2809 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹⁶⁷⁴⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080).

167442 is an abundant number, since it is smaller than the sum of its proper divisors (212718).

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

167442 is a wasteful number, since it uses less digits than its factorization.

167442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its digits is 1344, while the sum is 24.

The square root of 167442 is about 409.1967741808. The cubic root of 167442 is about 55.1173253028.

The spelling of 167442 in words is "one hundred sixty-seven thousand, four hundred forty-two".