61637 has 2 divisors, whose sum is σ = 61638. Its totient is φ = 61636.

The previous prime is 61631. The next prime is 61643. The reversal of 61637 is 73616.

61637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (61631) and next prime (61643).

It can be written as a sum of positive squares in only one way, i.e., 43681 + 17956 = 209^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 61637 - 2⁸ = 61381 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61637.

It is not a weakly prime, because it can be changed into another prime (61631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30818 + 30819.

It is an arithmetic number, because the mean of its divisors is an integer number (30819).

2⁶¹⁶³⁷ is an apocalyptic number.

It is an amenable number.

61637 is a deficient number, since it is larger than the sum of its proper divisors (1).

61637 is an equidigital number, since it uses as much as digits as its factorization.

61637 is an evil number, because the sum of its binary digits is even.

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

The square root of 61637 is about 248.2680003545. The cubic root of 61637 is about 39.5015221333.

The spelling of 61637 in words is "sixty-one thousand, six hundred thirty-seven".