4681953 has 24 divisors (see below), whose sum is σ = 7278336. Its totient is φ = 2889600.

The previous prime is 4681951. The next prime is 4681973. The reversal of 4681953 is 3591864.

4681953 is a `hidden beast` number, since 468 + 195 + 3 = 666.

It is not a de Polignac number, because 4681953 - 2¹ = 4681951 is a prime.

4681953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4681951) 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 23 ways as a sum of consecutive naturals, for example, 10648 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (303264).

Almost surely, 2^4681953 is an apocalyptic number.

It is an amenable number.

4681953 is a deficient number, since it is larger than the sum of its proper divisors (2596383).

4681953 is a wasteful number, since it uses less digits than its factorization.

4681953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 522 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4681953 is about 2163.7821054810. The cubic root of 4681953 is about 167.2921964489.

The spelling of 4681953 in words is "four million, six hundred eighty-one thousand, nine hundred fifty-three".