4972829 has 2 divisors, whose sum is σ = 4972830. Its totient is φ = 4972828.

The previous prime is 4972783. The next prime is 4972841. The reversal of 4972829 is 9282794.

4972829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4120900 + 851929 = 2030^2 + 923^2 .

It is a cyclic number.

It is not a de Polignac number, because 4972829 - 2⁸ = 4972573 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4972229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2486414 + 2486415.

It is an arithmetic number, because the mean of its divisors is an integer number (2486415).

Almost surely, 2^4972829 is an apocalyptic number.

It is an amenable number.

4972829 is a deficient number, since it is larger than the sum of its proper divisors (1).

4972829 is an equidigital number, since it uses as much as digits as its factorization.

4972829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72576, while the sum is 41.

The square root of 4972829 is about 2229.9840806607. The cubic root of 4972829 is about 170.6872868525.

Adding to 4972829 its product of digits (72576), we get a palindrome (5045405).

The spelling of 4972829 in words is "four million, nine hundred seventy-two thousand, eight hundred twenty-nine".