12958 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 5400.

The previous prime is 12953. The next prime is 12959. The reversal of 12958 is 85921.

12958 = T₁₂ + T₁₃ + ... + T₄₂.

12958 is nontrivially palindromic in base 3.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953) 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, 403 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹²⁹⁵⁸ is an apocalyptic number.

12958 is a deficient number, since it is larger than the sum of its proper divisors (10082).

12958 is a wasteful number, since it uses less digits than its factorization.

12958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63.

The product of its digits is 720, while the sum is 25.

The square root of 12958 is about 113.8332113225. The cubic root of 12958 is about 23.4879974924.

The spelling of 12958 in words is "twelve thousand, nine hundred fifty-eight".