13958 has 8 divisors (see below), whose sum is σ = 23952. Its totient is φ = 5976.

The previous prime is 13933. The next prime is 13963. The reversal of 13958 is 85931.

13958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

13958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 485 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (2994).

2¹³⁹⁵⁸ is an apocalyptic number.

13958 is a deficient number, since it is larger than the sum of its proper divisors (9994).

13958 is an equidigital number, since it uses as much as digits as its factorization.

13958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006.

The product of its digits is 1080, while the sum is 26.

The square root of 13958 is about 118.1439799567. The cubic root of 13958 is about 24.0772970774.

The spelling of 13958 in words is "thirteen thousand, nine hundred fifty-eight".