4970 has 16 divisors (see below), whose sum is σ = 10368. Its totient is φ = 1680.

The previous prime is 4969. The next prime is 4973. The reversal of 4970 is 794.

It is a Curzon number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4970.

It is not an unprimeable number, because it can be changed into a prime (4973) 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, 35 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

It is a pronic number, being equal to 70×71.

4970 is an abundant number, since it is smaller than the sum of its proper divisors (5398).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184).

4970 is a wasteful number, since it uses less digits than its factorization.

4970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 4970 is about 70.4982269281. The cubic root of 4970 is about 17.0654913199.

Subtracting from 4970 its sum of digits (20), we obtain a triangular number (4950 = T₉₉).

The spelling of 4970 in words is "four thousand, nine hundred seventy".