4935712 has 48 divisors (see below), whose sum is σ = 10577952. Its totient is φ = 2257920.

The previous prime is 4935691. The next prime is 4935719. The reversal of 4935712 is 2175394.

It is a super-2 number, since 2×4935712² = 48722505893888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4935719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23287 + ... + 23497.

It is an arithmetic number, because the mean of its divisors is an integer number (220374).

Almost surely, 2^4935712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4935712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288976).

4935712 is an abundant number, since it is smaller than the sum of its proper divisors (5642240).

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

4935712 is a wasteful number, since it uses less digits than its factorization.

4935712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 4935712 is about 2221.6462364652. The cubic root of 4935712 is about 170.2615581505.

The spelling of 4935712 in words is "four million, nine hundred thirty-five thousand, seven hundred twelve".