93609 has 8 divisors (see below), whose sum is σ = 138720. Its totient is φ = 62388.

The previous prime is 93607. The next prime is 93629. The reversal of 93609 is 90639.

It is not a de Polignac number, because 93609 - 2¹ = 93607 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3467 = 93609 / (9 + 3 + 6 + 0 + 9).

It is a Curzon number.

93609 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (93601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1707 + ... + 1760.

It is an arithmetic number, because the mean of its divisors is an integer number (17340).

2⁹³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

93609 is a deficient number, since it is larger than the sum of its proper divisors (45111).

93609 is a wasteful number, since it uses less digits than its factorization.

93609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 93609 is about 305.9558791721. The cubic root of 93609 is about 45.4052288155.

Adding to 93609 its sum of digits (27), we get a square (93636 = 306²).

The spelling of 93609 in words is "ninety-three thousand, six hundred nine".