4097637 has 12 divisors (see below), whose sum is σ = 5974540. Its totient is φ = 2706048.

The previous prime is 4097633. The next prime is 4097647. The reversal of 4097637 is 7367904.

It can be written as a sum of positive squares in 2 ways, for example, as 3381921 + 715716 = 1839^2 + 846^2 .

It is not a de Polignac number, because 4097637 - 2² = 4097633 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 (4097633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108 + ... + 3069.

Almost surely, 2^4097637 is an apocalyptic number.

It is an amenable number.

4097637 is a deficient number, since it is larger than the sum of its proper divisors (1876903).

4097637 is a wasteful number, since it uses less digits than its factorization.

4097637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 4097637 is about 2024.2620877742. The cubic root of 4097637 is about 160.0213122652.

The spelling of 4097637 in words is "four million, ninety-seven thousand, six hundred thirty-seven".