3997791 has 48 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 2090880.

The previous prime is 3997769. The next prime is 3997801. The reversal of 3997791 is 1977993.

3997791 = 344² + 345² + ... + 374².

3997791 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3997791 - 2⁵ = 3997759 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44875 + ... + 44963.

It is an arithmetic number, because the mean of its divisors is an integer number (149760).

Almost surely, 2^3997791 is an apocalyptic number.

3997791 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3997791 is a deficient number, since it is larger than the sum of its proper divisors (3190689).

3997791 is a wasteful number, since it uses less digits than its factorization.

3997791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its digits is 107163, while the sum is 45.

The square root of 3997791 is about 1999.4476737339. The cubic root of 3997791 is about 158.7108784083.

The spelling of 3997791 in words is "three million, nine hundred ninety-seven thousand, seven hundred ninety-one".