9958 has 8 divisors (see below), whose sum is σ = 16128. Its totient is φ = 4584.

The previous prime is 9949. The next prime is 9967. The reversal of 9958 is 8599.

9958 is nontrivially palindromic in base 4 and base 7.

9958 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (9949) and next prime (9967).

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

It is an Ulam number.

It is a plaindrome in base 8.

It is a nialpdrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

9958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2⁹⁹⁵⁸ is an apocalyptic number.

9958 is a deficient number, since it is larger than the sum of its proper divisors (6170).

9958 is a wasteful number, since it uses less digits than its factorization.

9958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its digits is 3240, while the sum is 31.

The square root of 9958 is about 99.7897790357. The cubic root of 9958 is about 21.5141424889.

The spelling of 9958 in words is "nine thousand, nine hundred fifty-eight".