89755 has 8 divisors (see below), whose sum is σ = 111600. Its totient is φ = 69216.

The previous prime is 89753. The next prime is 89759. The reversal of 89755 is 55798.

89755 = 41² + 42² + ... + 69².

89755 is nontrivially palindromic in base 13.

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 89755 - 2¹ = 89753 is a prime.

89755 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 89755.

It is not an unprimeable number, because it can be changed into a prime (89753) by changing a digit.

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, 165 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2⁸⁹⁷⁵⁵ is an apocalyptic number.

89755 is a deficient number, since it is larger than the sum of its proper divisors (21845).

89755 is a wasteful number, since it uses less digits than its factorization.

89755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653.

The product of its digits is 12600, while the sum is 34.

The square root of 89755 is about 299.5913883943. The cubic root of 89755 is about 44.7733459117.

The spelling of 89755 in words is "eighty-nine thousand, seven hundred fifty-five".