83827581986737 has 2 divisors, whose sum is σ = 83827581986738. Its totient is φ = 83827581986736.

The previous prime is 83827581986711. The next prime is 83827581986747. The reversal of 83827581986737 is 73768918572838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49520509000561 + 34307072986176 = 7037081^2 + 5857224^2 .

It is a cyclic number.

It is not a de Polignac number, because 83827581986737 - 2⁷ = 83827581986609 is a prime.

It is a super-2 number, since 2×83827581986737² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83827581986747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41913790993368 + 41913790993369.

It is an arithmetic number, because the mean of its divisors is an integer number (41913790993369).

Almost surely, 2^{83827581986737} is an apocalyptic number.

It is an amenable number.

83827581986737 is a deficient number, since it is larger than the sum of its proper divisors (1).

83827581986737 is an equidigital number, since it uses as much as digits as its factorization.

83827581986737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6827950080, while the sum is 82.

The spelling of 83827581986737 in words is "eighty-three trillion, eight hundred twenty-seven billion, five hundred eighty-one million, nine hundred eighty-six thousand, seven hundred thirty-seven".