3997737 has 36 divisors (see below), whose sum is σ = 6465420. Its totient is φ = 2376192.

The previous prime is 3997723. The next prime is 3997751. The reversal of 3997737 is 7377993.

It is an interprime number because it is at equal distance from previous prime (3997723) and next prime (3997751).

It can be written as a sum of positive squares in 6 ways, for example, as 670761 + 3326976 = 819^2 + 1824^2 .

It is not a de Polignac number, because 3997737 - 2⁶ = 3997673 is a prime.

It is a super-2 number, since 2×3997737² = 31963802242338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3997692 and 3997701.

It is not an unprimeable number, because it can be changed into a prime (3990737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75403 + ... + 75455.

It is an arithmetic number, because the mean of its divisors is an integer number (179595).

Almost surely, 2^3997737 is an apocalyptic number.

It is an amenable number.

3997737 is a deficient number, since it is larger than the sum of its proper divisors (2467683).

3997737 is a wasteful number, since it uses less digits than its factorization.

3997737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its digits is 250047, while the sum is 45.

The square root of 3997737 is about 1999.4341699591. The cubic root of 3997737 is about 158.7101638115.

The spelling of 3997737 in words is "three million, nine hundred ninety-seven thousand, seven hundred thirty-seven".