20958 has 16 divisors (see below), whose sum is σ = 48000. Its totient is φ = 5976.

The previous prime is 20947. The next prime is 20959. The reversal of 20958 is 85902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20959) 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, 208 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

2²⁰⁹⁵⁸ is an apocalyptic number.

20958 is an abundant number, since it is smaller than the sum of its proper divisors (27042).

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 (24000).

20958 is a wasteful number, since it uses less digits than its factorization.

20958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 20958 is about 144.7687811650. The cubic root of 20958 is about 27.5708366604.

The spelling of 20958 in words is "twenty thousand, nine hundred fifty-eight".