82821761 has 8 divisors (see below), whose sum is σ = 90504864. Its totient is φ = 75164320.

The previous prime is 82821749. The next prime is 82821769. The reversal of 82821761 is 16712828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82821761 - 2²⁶ = 15712897 is a prime.

It is a super-3 number, since 3×82821761³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82821769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 12888.

It is an arithmetic number, because the mean of its divisors is an integer number (11313108).

Almost surely, 2^82821761 is an apocalyptic number.

82821761 is the 4865-th centered heptagonal number.

It is an amenable number.

82821761 is a deficient number, since it is larger than the sum of its proper divisors (7683103).

82821761 is a wasteful number, since it uses less digits than its factorization.

82821761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831.

The product of its digits is 10752, while the sum is 35.

The square root of 82821761 is about 9100.6461858486. The cubic root of 82821761 is about 435.8945979397.

The spelling of 82821761 in words is "eighty-two million, eight hundred twenty-one thousand, seven hundred sixty-one".