3997753 has 8 divisors (see below), whose sum is σ = 4118400. Its totient is φ = 3878448.

The previous prime is 3997751. The next prime is 3997759. The reversal of 3997753 is 3577993.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3997753 - 2¹ = 3997751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

3997753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3997751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10083 + ... + 10471.

It is an arithmetic number, because the mean of its divisors is an integer number (514800).

Almost surely, 2^3997753 is an apocalyptic number.

It is an amenable number.

3997753 is a deficient number, since it is larger than the sum of its proper divisors (120647).

3997753 is a wasteful number, since it uses less digits than its factorization.

3997753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its digits is 178605, while the sum is 43.

The square root of 3997753 is about 1999.4381710871. The cubic root of 3997753 is about 158.7103755445.

The spelling of 3997753 in words is "three million, nine hundred ninety-seven thousand, seven hundred fifty-three".