4935735 has 40 divisors (see below), whose sum is σ = 10117536. Its totient is φ = 2255040.

The previous prime is 4935719. The next prime is 4935739. The reversal of 4935735 is 5375394.

It is not a de Polignac number, because 4935735 - 2⁴ = 4935719 is a prime.

It is a super-2 number, since 2×4935735² = 48722959980450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4935735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1965 + ... + 3705.

Almost surely, 2^4935735 is an apocalyptic number.

4935735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4935735 is an abundant number, since it is smaller than the sum of its proper divisors (5181801).

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

4935735 is a wasteful number, since it uses less digits than its factorization.

4935735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1756 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 4935735 is about 2221.6514128008. The cubic root of 4935735 is about 170.2618226182.

The spelling of 4935735 in words is "four million, nine hundred thirty-five thousand, seven hundred thirty-five".