82773905461 has 16 divisors (see below), whose sum is σ = 89368126848. Its totient is φ = 76212360000.

The previous prime is 82773905449. The next prime is 82773905477. The reversal of 82773905461 is 16450937728.

It is a cyclic number.

It is not a de Polignac number, because 82773905461 - 2²¹ = 82771808309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82773905399 and 82773905408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82773905861) 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 15 ways as a sum of consecutive naturals, for example, 9732711 + ... + 9741211.

It is an arithmetic number, because the mean of its divisors is an integer number (5585507928).

It is a 1-persistent number, because it is pandigital, but 2⋅82773905461 = 165547810922 is not.

Almost surely, 2^82773905461 is an apocalyptic number.

It is an amenable number.

82773905461 is a deficient number, since it is larger than the sum of its proper divisors (6594221387).

82773905461 is a wasteful number, since it uses less digits than its factorization.

82773905461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 82773905461 in words is "eighty-two billion, seven hundred seventy-three million, nine hundred five thousand, four hundred sixty-one".