993609 has 12 divisors (see below), whose sum is σ = 1449396. Its totient is φ = 655872.

The previous prime is 993589. The next prime is 993611. The reversal of 993609 is 906399.

993609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 558009 = 660^2 + 747^2 .

It is not a de Polignac number, because 993609 - 2⁷ = 993481 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993609.

It is not an unprimeable number, because it can be changed into a prime (993679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (120783).

2⁹⁹³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

993609 is a deficient number, since it is larger than the sum of its proper divisors (455787).

993609 is a wasteful number, since it uses less digits than its factorization.

993609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 993609 is about 996.7993780094. The cubic root of 993609 is about 99.7865112164.

The spelling of 993609 in words is "nine hundred ninety-three thousand, six hundred nine".