82064487961 has 3 divisors (see below), whose sum is σ = 82064774431. Its totient is φ = 82064201492.

The previous prime is 82064487943. The next prime is 82064487971. The reversal of 82064487961 is 16978446028.

It is a happy number.

The square root of 82064487961 is 286469.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3361796361 + 78702691600 = 57981^2 + 280540^2 .

It is not a de Polignac number, because 82064487961 - 2¹¹ = 82064485913 is a prime.

It is a super-2 number, since 2×82064487961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82064487971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143235 + ... + 429703.

Almost surely, 2^82064487961 is an apocalyptic number.

82064487961 is the 286469-th square number.

82064487961 is the 143235-th centered octagonal number.

It is an amenable number.

82064487961 is a deficient number, since it is larger than the sum of its proper divisors (286470).

82064487961 is an frugal number, since it uses more digits than its factorization.

82064487961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572938 (or 286469 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

It can be divided in two parts, 82064 and 487961, that added together give a square (570025 = 755²).

The spelling of 82064487961 in words is "eighty-two billion, sixty-four million, four hundred eighty-seven thousand, nine hundred sixty-one".