4157973 has 24 divisors (see below), whose sum is σ = 6342336. Its totient is φ = 2721600.

The previous prime is 4157947. The next prime is 4157981. The reversal of 4157973 is 3797514.

It is a happy number.

It is not a de Polignac number, because 4157973 - 2⁸ = 4157717 is a prime.

Its product of digits (26460) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17133 + ... + 17373.

It is an arithmetic number, because the mean of its divisors is an integer number (264264).

Almost surely, 2^4157973 is an apocalyptic number.

It is an amenable number.

4157973 is a deficient number, since it is larger than the sum of its proper divisors (2184363).

4157973 is an equidigital number, since it uses as much as digits as its factorization.

4157973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 4157973 is about 2039.1108356340. The cubic root of 4157973 is about 160.8029042692.

The spelling of 4157973 in words is "four million, one hundred fifty-seven thousand, nine hundred seventy-three".