89730 has 24 divisors (see below), whose sum is σ = 233532. Its totient is φ = 23904.

The previous prime is 89689. The next prime is 89753. The reversal of 89730 is 3798.

Added to its reverse (3798) it gives a triangular number (93528 = T₄₃₂).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 1521 = 297^2 + 39^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89694 and 89703.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409 + ... + 588.

2⁸⁹⁷³⁰ is an apocalyptic number.

89730 is an abundant number, since it is smaller than the sum of its proper divisors (143802).

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 (116766).

89730 is a wasteful number, since it uses less digits than its factorization.

89730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1007 counting only the distinct ones).

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

The square root of 89730 is about 299.5496619928. The cubic root of 89730 is about 44.7691885292.

Adding to 89730 its reverse (3798), we get a triangular number (93528 = T₄₃₂).

The spelling of 89730 in words is "eighty-nine thousand, seven hundred thirty".