5609835 has 48 divisors (see below), whose sum is σ = 12130560. Its totient is φ = 2329920.

The previous prime is 5609833. The next prime is 5609837. The reversal of 5609835 is 5389065.

5609835 = 231² + 232² + ... + 307².

5609835 is a `hidden beast` number, since 560 + 98 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5609833) and next prime (5609837).

It is not a de Polignac number, because 5609835 - 2¹ = 5609833 is a prime.

5609835 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5609835.

It is not an unprimeable number, because it can be changed into a prime (5609833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2656 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 2^5609835 is an apocalyptic number.

5609835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5609835 is an abundant number, since it is smaller than the sum of its proper divisors (6520725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5609835 is a wasteful number, since it uses less digits than its factorization.

5609835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5609835 is about 2368.5090246820. The cubic root of 5609835 is about 177.6846983088.

The spelling of 5609835 in words is "five million, six hundred nine thousand, eight hundred thirty-five".