358806 has 16 divisors (see below), whose sum is σ = 820224. Its totient is φ = 102504.

The previous prime is 358793. The next prime is 358811. The reversal of 358806 is 608853.

358806 = 298² + 299² + ... + 301².

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁶ + 5⁷ + 8 + 8 + 0 + 6⁷ .

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 358806.

It is an unprimeable number.

358806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4230 + ... + 4313.

It is an arithmetic number, because the mean of its divisors is an integer number (51264).

2³⁵⁸⁸⁰⁶ is an apocalyptic number.

358806 is an abundant number, since it is smaller than the sum of its proper divisors (461418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

358806 is a wasteful number, since it uses less digits than its factorization.

358806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 358806 is about 599.0041736082. The cubic root of 358806 is about 71.0591321177.

Subtracting 358806 from its reverse (608853), we obtain a cube (250047 = 63³).

The spelling of 358806 in words is "three hundred fifty-eight thousand, eight hundred six".