5209785 has 64 divisors (see below), whose sum is σ = 10944000. Its totient is φ = 2301696.

The previous prime is 5209783. The next prime is 5209817. The reversal of 5209785 is 5879025.

It is not a de Polignac number, because 5209785 - 2¹ = 5209783 is a prime.

It is a super-3 number, since 3×5209785³ (a number of 21 digits) contains 333 as substring.

5209785 is a lucky number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34891 + ... + 35039.

It is an arithmetic number, because the mean of its divisors is an integer number (171000).

Almost surely, 2^5209785 is an apocalyptic number.

It is an amenable number.

5209785 is an abundant number, since it is smaller than the sum of its proper divisors (5734215).

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

5209785 is a wasteful number, since it uses less digits than its factorization.

5209785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5209785 is about 2282.4953450117. The cubic root of 5209785 is about 173.3564215629.

The spelling of 5209785 in words is "five million, two hundred nine thousand, seven hundred eighty-five".