167958 has 48 divisors (see below), whose sum is σ = 439296. Its totient is φ = 45360.

The previous prime is 167953. The next prime is 167971. The reversal of 167958 is 859761.

It is a Curzon number.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3885 + ... + 3927.

It is an arithmetic number, because the mean of its divisors is an integer number (9152).

2¹⁶⁷⁹⁵⁸ is an apocalyptic number.

167958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 167958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219648).

167958 is an abundant number, since it is smaller than the sum of its proper divisors (271338).

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

167958 is a wasteful number, since it uses less digits than its factorization.

167958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 167958 is about 409.8267926820. The cubic root of 167958 is about 55.1738849374.

The spelling of 167958 in words is "one hundred sixty-seven thousand, nine hundred fifty-eight".