89365 has 8 divisors (see below), whose sum is σ = 109368. Its totient is φ = 70080.

The previous prime is 89363. The next prime is 89371. The reversal of 89365 is 56398.

It can be written as a sum of positive squares in 4 ways, for example, as 7569 + 81796 = 87^2 + 286^2 .

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

It is not a de Polignac number, because 89365 - 2¹ = 89363 is a prime.

It is a super-2 number, since 2×89365² = 15972206450, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2⁸⁹³⁶⁵ is an apocalyptic number.

It is an amenable number.

89365 is a deficient number, since it is larger than the sum of its proper divisors (20003).

89365 is a wasteful number, since it uses less digits than its factorization.

89365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its digits is 6480, while the sum is 31.

The square root of 89365 is about 298.9397932695. The cubic root of 89365 is about 44.7084026131.

It can be divided in two parts, 89 and 365, that added together give a palindrome (454).

The spelling of 89365 in words is "eighty-nine thousand, three hundred sixty-five".