4979205 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 2064960.

The previous prime is 4979173. The next prime is 4979209. The reversal of 4979205 is 5029794.

4979205 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4979205 - 2⁵ = 4979173 is a prime.

4979205 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4979205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4979209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10156 + ... + 10634.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 2^4979205 is an apocalyptic number.

4979205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4979205 is an abundant number, since it is smaller than the sum of its proper divisors (6079995).

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

4979205 is a wasteful number, since it uses less digits than its factorization.

4979205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4979205 is about 2231.4132293235. The cubic root of 4979205 is about 170.7602055971.

It can be divided in two parts, 4979 and 205, that added together give a square (5184 = 72²).

The spelling of 4979205 in words is "four million, nine hundred seventy-nine thousand, two hundred five".