80958 has 16 divisors (see below), whose sum is σ = 164736. Its totient is φ = 26520.

The previous prime is 80953. The next prime is 80963. The reversal of 80958 is 85908.

It is an interprime number because it is at equal distance from previous prime (80953) and next prime (80963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80953) by changing a digit.

80958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (10296).

2⁸⁰⁹⁵⁸ is an apocalyptic number.

80958 is an abundant number, since it is smaller than the sum of its proper divisors (83778).

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 (82368).

80958 is a wasteful number, since it uses less digits than its factorization.

80958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 80958 is about 284.5311933690. The cubic root of 80958 is about 43.2600074852.

Adding to 80958 its product of nonzero digits (2880), we get a palindrome (83838).

Subtracting 80958 from its reverse (85908), we obtain a triangular number (4950 = T₉₉).

The spelling of 80958 in words is "eighty thousand, nine hundred fifty-eight".