89505 has 40 divisors (see below), whose sum is σ = 182952. Its totient is φ = 41472.

The previous prime is 89501. The next prime is 89513. The reversal of 89505 is 50598.

89505 = T₉₄ + T₉₅ + ... + T₁₁₀.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 82944 = 81^2 + 288^2 .

It is not a de Polignac number, because 89505 - 2² = 89501 is a prime.

It is a super-2 number, since 2×89505² = 16022290050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5257 + ... + 5273.

2⁸⁹⁵⁰⁵ is an apocalyptic number.

89505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

89505 is an abundant number, since it is smaller than the sum of its proper divisors (93447).

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 (91476).

89505 is a wasteful number, since it uses less digits than its factorization.

89505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 89505 is about 299.1738624947. The cubic root of 89505 is about 44.7317372916.

The spelling of 89505 in words is "eighty-nine thousand, five hundred five".