4097537 has 2 divisors, whose sum is σ = 4097538. Its totient is φ = 4097536.

The previous prime is 4097503. The next prime is 4097551. The reversal of 4097537 is 7357904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4096576 + 961 = 2024^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097537 - 2⁸ = 4097281 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4097497 and 4097506.

It is not a weakly prime, because it can be changed into another prime (4097567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048768 + 2048769.

It is an arithmetic number, because the mean of its divisors is an integer number (2048769).

Almost surely, 2^4097537 is an apocalyptic number.

It is an amenable number.

4097537 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097537 is an equidigital number, since it uses as much as digits as its factorization.

4097537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 4097537 is about 2024.2373872646. The cubic root of 4097537 is about 160.0200105181.

The spelling of 4097537 in words is "four million, ninety-seven thousand, five hundred thirty-seven".