89337 has 8 divisors (see below), whose sum is σ = 120736. Its totient is φ = 58752.

The previous prime is 89329. The next prime is 89363. The reversal of 89337 is 73398.

Added to its reverse (73398) it gives a triangular number (162735 = T₅₇₀).

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

It is not a de Polignac number, because 89337 - 2³ = 89329 is a prime.

It is a Duffinian number.

89337 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (89317) 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, 138 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (15092).

2⁸⁹³³⁷ is an apocalyptic number.

It is an amenable number.

89337 is a deficient number, since it is larger than the sum of its proper divisors (31399).

89337 is a wasteful number, since it uses less digits than its factorization.

89337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 4536, while the sum is 30.

The square root of 89337 is about 298.8929574279. The cubic root of 89337 is about 44.7037327534.

Adding to 89337 its reverse (73398), we get a triangular number (162735 = T₅₇₀).

The spelling of 89337 in words is "eighty-nine thousand, three hundred thirty-seven".