5205735 has 16 divisors (see below), whose sum is σ = 9254880. Its totient is φ = 2776320.

The previous prime is 5205727. The next prime is 5205749. The reversal of 5205735 is 5375025.

It is not a de Polignac number, because 5205735 - 2³ = 5205727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 5³ + 2¹⁴ + 0 + 5⁶ + 7 + 3¹⁴ + 5⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 5205699 and 5205708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19146 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (578430).

Almost surely, 2^5205735 is an apocalyptic number.

5205735 is a deficient number, since it is larger than the sum of its proper divisors (4049145).

5205735 is a wasteful number, since it uses less digits than its factorization.

5205735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38575 (or 38569 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5205735 is about 2281.6079856101. The cubic root of 5205735 is about 173.3114884535.

The spelling of 5205735 in words is "five million, two hundred five thousand, seven hundred thirty-five".