3657997 has 6 divisors (see below), whose sum is σ = 4255278. Its totient is φ = 3135384.

The previous prime is 3657977. The next prime is 3658001. The reversal of 3657997 is 7997563.

It can be written as a sum of positive squares in only one way, i.e., 3493161 + 164836 = 1869^2 + 406^2 .

It is not a de Polignac number, because 3657997 - 2¹⁵ = 3625229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37278 + ... + 37375.

It is an arithmetic number, because the mean of its divisors is an integer number (709213).

Almost surely, 2^3657997 is an apocalyptic number.

It is an amenable number.

3657997 is a deficient number, since it is larger than the sum of its proper divisors (597281).

3657997 is an equidigital number, since it uses as much as digits as its factorization.

3657997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74667 (or 74660 counting only the distinct ones).

The product of its digits is 357210, while the sum is 46.

The square root of 3657997 is about 1912.5890828926. The cubic root of 3657997 is about 154.0805363875.

The spelling of 3657997 in words is "three million, six hundred fifty-seven thousand, nine hundred ninety-seven".