4735965 has 32 divisors (see below), whose sum is σ = 8265600. Its totient is φ = 2301696.

The previous prime is 4735937. The next prime is 4735967. The reversal of 4735965 is 5695374.

It is not a de Polignac number, because 4735965 - 2⁵ = 4735933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a d-powerful number, because it can be written as 4¹¹ + 7 + 3⁷ + 5³ + 9⁶ + 6⁵ + 5³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735967) 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 31 ways as a sum of consecutive naturals, for example, 28974 + ... + 29136.

It is an arithmetic number, because the mean of its divisors is an integer number (258300).

Almost surely, 2^4735965 is an apocalyptic number.

It is an amenable number.

4735965 is a deficient number, since it is larger than the sum of its proper divisors (3529635).

4735965 is a wasteful number, since it uses less digits than its factorization.

4735965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333.

The product of its digits is 113400, while the sum is 39.

The square root of 4735965 is about 2176.2272399729. The cubic root of 4735965 is about 167.9330444639.

The spelling of 4735965 in words is "four million, seven hundred thirty-five thousand, nine hundred sixty-five".