4200973 has 16 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 3396096.

The previous prime is 4200953. The next prime is 4200991. The reversal of 4200973 is 3790024.

4200973 = T₆₂₂ + T₆₂₃ + ... + T₆₄₂.

It is a cyclic number.

It is not a de Polignac number, because 4200973 - 2⁵ = 4200941 is a prime.

It is a d-powerful number, because it can be written as 4¹¹ + 2⁵ + 0 + 0 + 9⁴ + 7² + 3³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200923) 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 15 ways as a sum of consecutive naturals, for example, 15483 + ... + 15751.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^4200973 is an apocalyptic number.

It is an amenable number.

4200973 is a deficient number, since it is larger than the sum of its proper divisors (879347).

4200973 is a wasteful number, since it uses less digits than its factorization.

4200973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 4200973 is about 2049.6275271376. The cubic root of 4200973 is about 161.3553228950.

Adding to 4200973 its reverse (3790024), we get a palindrome (7990997).

The spelling of 4200973 in words is "four million, two hundred thousand, nine hundred seventy-three".