82674075961 has 9 divisors (see below), whose sum is σ = 83058555279. Its totient is φ = 82291372200.

The previous prime is 82674075941. The next prime is 82674075973. The reversal of 82674075961 is 16957047628.

The square root of 82674075961 is 287531.

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., 54443355561 + 28230720400 = 233331^2 + 168020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-82674075961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82674075901) 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 8 ways as a sum of consecutive naturals, for example, 77920371 + ... + 77921431.

Almost surely, 2^82674075961 is an apocalyptic number.

82674075961 is the 287531-st square number.

82674075961 is the 143766-th centered octagonal number.

It is an amenable number.

82674075961 is a deficient number, since it is larger than the sum of its proper divisors (384479318).

82674075961 is an frugal number, since it uses more digits than its factorization.

82674075961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 82674075961 in words is "eighty-two billion, six hundred seventy-four million, seventy-five thousand, nine hundred sixty-one".