83938927388761 has 45 divisors (see below), whose sum is σ = 90962852696943. Its totient is φ = 77456216662560.

The previous prime is 83938927388683. The next prime is 83938927388777. The reversal of 83938927388761 is 16788372983938.

The square root of 83938927388761 is 9161819.

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

It can be written as a sum of positive squares in only one way, i.e., 4044647899161 + 79894279489600 = 2011131^2 + 8938360^2 .

It is not a de Polignac number, because 83938927388761 - 2⁷ = 83938927388633 is a prime.

It is a Smith number, since the sum of its digits (82) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83938927388161) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135604082710 + ... + 135604083328.

Almost surely, 2^{83938927388761} is an apocalyptic number.

83938927388761 is the 9161819-th square number.

83938927388761 is the 4580910-th centered octagonal number.

It is an amenable number.

83938927388761 is a deficient number, since it is larger than the sum of its proper divisors (7023925308182).

83938927388761 is an frugal number, since it uses more digits than its factorization.

83938927388761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 679 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 82.

The spelling of 83938927388761 in words is "eighty-three trillion, nine hundred thirty-eight billion, nine hundred twenty-seven million, three hundred eighty-eight thousand, seven hundred sixty-one".