61837 has 2 divisors, whose sum is σ = 61838. Its totient is φ = 61836.

The previous prime is 61819. The next prime is 61843. The reversal of 61837 is 73816.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 12996 = 221^2 + 114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30918 + 30919.

It is an arithmetic number, because the mean of its divisors is an integer number (30919).

2⁶¹⁸³⁷ is an apocalyptic number.

It is an amenable number.

61837 is a deficient number, since it is larger than the sum of its proper divisors (1).

61837 is an equidigital number, since it uses as much as digits as its factorization.

61837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 61837 is about 248.6704646716. The cubic root of 61837 is about 39.5442009075.

It can be divided in two parts, 61 and 837, that added together give a palindrome (898).

The spelling of 61837 in words is "sixty-one thousand, eight hundred thirty-seven".