89037 has 12 divisors (see below), whose sum is σ = 138684. Its totient is φ = 54720.

The previous prime is 89021. The next prime is 89041. The reversal of 89037 is 73098.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 84681 = 66^2 + 291^2 .

It is not a de Polignac number, because 89037 - 2⁴ = 89021 is a prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 89037.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89037.

It is not an unprimeable number, because it can be changed into a prime (89017) 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 11 ways as a sum of consecutive naturals, for example, 264 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (11557).

2⁸⁹⁰³⁷ is an apocalyptic number.

It is an amenable number.

89037 is a deficient number, since it is larger than the sum of its proper divisors (49647).

89037 is a wasteful number, since it uses less digits than its factorization.

89037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 89037 is about 298.3906835007. The cubic root of 89037 is about 44.6536371986.

It can be divided in two parts, 8 and 9037, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 89037 in words is "eighty-nine thousand, thirty-seven".