4735963 has 8 divisors (see below), whose sum is σ = 5022080. Its totient is φ = 4458240.

The previous prime is 4735937. The next prime is 4735967. The reversal of 4735963 is 3695374.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4735963 - 2⁵ = 4735931 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a d-powerful number, because it can be written as 4¹¹ + 7⁴ + 3³ + 5 + 9 + 6⁵ + 3¹² .

It is a Duffinian number.

4735963 is a lucky 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 7 ways as a sum of consecutive naturals, for example, 918 + ... + 3211.

It is an arithmetic number, because the mean of its divisors is an integer number (627760).

Almost surely, 2^4735963 is an apocalyptic number.

4735963 is a deficient number, since it is larger than the sum of its proper divisors (286117).

4735963 is a wasteful number, since it uses less digits than its factorization.

4735963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197.

The product of its digits is 68040, while the sum is 37.

The square root of 4735963 is about 2176.2267804620. The cubic root of 4735963 is about 167.9330208245.

The spelling of 4735963 in words is "four million, seven hundred thirty-five thousand, nine hundred sixty-three".