14958 has 16 divisors (see below), whose sum is σ = 33360. Its totient is φ = 4968.

The previous prime is 14957. The next prime is 14969. The reversal of 14958 is 85941.

14958 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime factors (288).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (2085).

2¹⁴⁹⁵⁸ is an apocalyptic number.

14958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14958 is an abundant number, since it is smaller than the sum of its proper divisors (18402).

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 (16680).

14958 is a wasteful number, since it uses less digits than its factorization.

14958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 14958 is about 122.3029026638. The cubic root of 14958 is about 24.6390812470.

The spelling of 14958 in words is "fourteen thousand, nine hundred fifty-eight".