4772 has 6 divisors (see below), whose sum is σ = 8358. Its totient is φ = 2384.

The previous prime is 4759. The next prime is 4783. The reversal of 4772 is 2774.

It can be written as a sum of positive squares in only one way, i.e., 4096 + 676 = 64^2 + 26^2 .

It is a plaindrome in base 8.

It is an unprimeable number.

4772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 593 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (1393).

It is an amenable number.

4772 is a deficient number, since it is larger than the sum of its proper divisors (3586).

4772 is a wasteful number, since it uses less digits than its factorization.

4772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its digits is 392, while the sum is 20.

The square root of 4772 is about 69.0796641567. The cubic root of 4772 is about 16.8357891612.

The spelling of 4772 in words is "four thousand, seven hundred seventy-two", and thus it is an iban number.