4205973 has 16 divisors (see below), whose sum is σ = 5964480. Its totient is φ = 2628864.

The previous prime is 4205951. The next prime is 4205977. The reversal of 4205973 is 3795024.

It is not a de Polignac number, because 4205973 - 2⁶ = 4205909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4205973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6115 + ... + 6767.

It is an arithmetic number, because the mean of its divisors is an integer number (372780).

Almost surely, 2^4205973 is an apocalyptic number.

It is an amenable number.

4205973 is a deficient number, since it is larger than the sum of its proper divisors (1758507).

4205973 is a wasteful number, since it uses less digits than its factorization.

4205973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 4205973 is about 2050.8468982350. The cubic root of 4205973 is about 161.4193125747.

The spelling of 4205973 in words is "four million, two hundred five thousand, nine hundred seventy-three".