89465 has 8 divisors (see below), whose sum is σ = 111240. Its totient is φ = 68992.

The previous prime is 89459. The next prime is 89477. The reversal of 89465 is 56498.

89465 = 211² + 212².

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 89401 = 8^2 + 299^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 89465 - 2⁴ = 89449 is a prime.

It is a Curzon number.

It is an unprimeable 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, 164 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (13905).

2⁸⁹⁴⁶⁵ is an apocalyptic number.

89465 is the 212-nd centered square number.

It is an amenable number.

89465 is a deficient number, since it is larger than the sum of its proper divisors (21775).

89465 is a wasteful number, since it uses less digits than its factorization.

89465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its digits is 8640, while the sum is 32.

The square root of 89465 is about 299.1070042644. The cubic root of 89465 is about 44.7250727250.

It can be divided in two parts, 894 and 65, that added together give a palindrome (959).

The spelling of 89465 in words is "eighty-nine thousand, four hundred sixty-five".