8958 has 8 divisors (see below), whose sum is σ = 17928. Its totient is φ = 2984.

The previous prime is 8951. The next prime is 8963. The reversal of 8958 is 8598.

It is a sphenic number, since it is the product of 3 distinct primes.

8958 is an admirable number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 741 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (2241).

2⁸⁹⁵⁸ is an apocalyptic number.

8958 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964).

8958 is a wasteful number, since it uses less digits than its factorization.

8958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498.

The product of its digits is 2880, while the sum is 30.

The square root of 8958 is about 94.6467115118. The cubic root of 8958 is about 20.7684309073.

It can be divided in two parts, 895 and 8, that added together give a triangular number (903 = T₄₂).

The spelling of 8958 in words is "eight thousand, nine hundred fifty-eight".