82757868961397 has 12 divisors (see below), whose sum is σ = 97152562894860. Its totient is φ = 70284533530176.

The previous prime is 82757868961387. The next prime is 82757868961489. The reversal of 82757868961397 is 79316986875728.

It can be written as a sum of positive squares in 2 ways, for example, as 20801544278641 + 61956324682756 = 4560871^2 + 7871234^2 .

It is not a de Polignac number, because 82757868961397 - 2³⁰ = 82756795219573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82757868961387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7747407968 + ... + 7747418649.

It is an arithmetic number, because the mean of its divisors is an integer number (8096046907905).

Almost surely, 2^{82757868961397} is an apocalyptic number.

It is an amenable number.

82757868961397 is a deficient number, since it is larger than the sum of its proper divisors (14394693933463).

82757868961397 is a wasteful number, since it uses less digits than its factorization.

82757868961397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15494826740 (or 15494826733 counting only the distinct ones).

The product of its digits is 15362887680, while the sum is 86.

The spelling of 82757868961397 in words is "eighty-two trillion, seven hundred fifty-seven billion, eight hundred sixty-eight million, nine hundred sixty-one thousand, three hundred ninety-seven".