80358 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 26216.

The previous prime is 80347. The next prime is 80363. The reversal of 80358 is 85308.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80358.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2⁸⁰³⁵⁸ is an apocalyptic number.

80358 is an abundant number, since it is smaller than the sum of its proper divisors (83802).

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 (82080).

80358 is a wasteful number, since it uses less digits than its factorization.

80358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 80358 is about 283.4748666108. The cubic root of 80358 is about 43.1528721312.

Adding to 80358 its product of nonzero digits (960), we get a palindrome (81318).

Subtracting 80358 from its reverse (85308), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 803 and 58, that added together give a triangular number (861 = T₄₁).

The spelling of 80358 in words is "eighty thousand, three hundred fifty-eight".