37082819761 has 9 divisors (see below), whose sum is σ = 40157480289. Its totient is φ = 34227984336.

The previous prime is 37082819749. The next prime is 37082819773. The reversal of 37082819761 is 16791828073.

The square root of 37082819761 is 192569.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (37082819749) and next prime (37082819773).

It can be written as a sum of positive squares in 4 ways, for example, as 11776373361 + 25306446400 = 108519^2 + 159080^2 .

It is not a de Polignac number, because 37082819761 - 2¹⁷ = 37082688689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37082819699 and 37082819708.

It is not an unprimeable number, because it can be changed into a prime (37082819701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2495991 + ... + 2510803.

Almost surely, 2^37082819761 is an apocalyptic number.

37082819761 is the 192569-th square number.

37082819761 is the 96285-th centered octagonal number.

It is an amenable number.

37082819761 is a deficient number, since it is larger than the sum of its proper divisors (3074660528).

37082819761 is an frugal number, since it uses more digits than its factorization.

37082819761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29652 (or 14826 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 37082819761 in words is "thirty-seven billion, eighty-two million, eight hundred nineteen thousand, seven hundred sixty-one".