51637 has 2 divisors, whose sum is σ = 51638. Its totient is φ = 51636.

The previous prime is 51631. The next prime is 51647. The reversal of 51637 is 73615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 11236 = 201^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 51637 - 2¹⁵ = 18869 is a prime.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25818 + 25819.

It is an arithmetic number, because the mean of its divisors is an integer number (25819).

2⁵¹⁶³⁷ is an apocalyptic number.

It is an amenable number.

51637 is a deficient number, since it is larger than the sum of its proper divisors (1).

51637 is an equidigital number, since it uses as much as digits as its factorization.

51637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 22.

The square root of 51637 is about 227.2377609465. The cubic root of 51637 is about 37.2380560178.

Subtracting from 51637 its sum of digits (22), we obtain a palindrome (51615).

The spelling of 51637 in words is "fifty-one thousand, six hundred thirty-seven".