637601 has 2 divisors, whose sum is σ = 637602. Its totient is φ = 637600.

The previous prime is 637597. The next prime is 637603. The reversal of 637601 is 106736.

637601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 180625 = 676^2 + 425^2 .

It is a cyclic number.

It is not a de Polignac number, because 637601 - 2² = 637597 is a prime.

It is a Sophie Germain prime.

Together with 637603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (637603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 318800 + 318801.

It is an arithmetic number, because the mean of its divisors is an integer number (318801).

2⁶³⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

637601 is a deficient number, since it is larger than the sum of its proper divisors (1).

637601 is an equidigital number, since it uses as much as digits as its factorization.

637601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 637601 is about 798.4992172820. The cubic root of 637601 is about 86.0695759300.

The spelling of 637601 in words is "six hundred thirty-seven thousand, six hundred one".