89764 has 6 divisors (see below), whose sum is σ = 157094. Its totient is φ = 44880.

The previous prime is 89759. The next prime is 89767. The reversal of 89764 is 46798.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 36864 = 230^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (89767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11217 + ... + 11224.

2⁸⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

89764 is a deficient number, since it is larger than the sum of its proper divisors (67330).

89764 is a wasteful number, since it uses less digits than its factorization.

89764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22445 (or 22443 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 89764 is about 299.6064084762. The cubic root of 89764 is about 44.7748423804.

Adding to 89764 its sum of digits (34), we get a palindrome (89798).

It can be divided in two parts, 897 and 64, that added together give a square (961 = 31²).

The spelling of 89764 in words is "eighty-nine thousand, seven hundred sixty-four".