65958 has 8 divisors (see below), whose sum is σ = 131928. Its totient is φ = 21984.

The previous prime is 65957. The next prime is 65963. The reversal of 65958 is 85956.

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

65958 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5491 + ... + 5502.

It is an arithmetic number, because the mean of its divisors is an integer number (16491).

2⁶⁵⁹⁵⁸ is an apocalyptic number.

65958 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (65964).

65958 is a wasteful number, since it uses less digits than its factorization.

65958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998.

The product of its digits is 10800, while the sum is 33.

The square root of 65958 is about 256.8228961756. The cubic root of 65958 is about 40.4038260599.

It can be divided in two parts, 659 and 58, that added together give a palindrome (717).

The spelling of 65958 in words is "sixty-five thousand, nine hundred fifty-eight".