89258 has 8 divisors (see below), whose sum is σ = 144228. Its totient is φ = 41184.

The previous prime is 89237. The next prime is 89261. The reversal of 89258 is 85298.

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 6889 = 287^2 + 83^2 .

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

It is a super-3 number, since 3×89258³ = 2133352931284536, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89258.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1691 + ... + 1742.

2⁸⁹²⁵⁸ is an apocalyptic number.

89258 is a deficient number, since it is larger than the sum of its proper divisors (54970).

89258 is a wasteful number, since it uses less digits than its factorization.

89258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448.

The product of its digits is 5760, while the sum is 32.

The square root of 89258 is about 298.7607738643. The cubic root of 89258 is about 44.6905518153.

The spelling of 89258 in words is "eighty-nine thousand, two hundred fifty-eight".