82927821 has 16 divisors (see below), whose sum is σ = 114434048. Its totient is φ = 53362800.

The previous prime is 82927813. The next prime is 82927829. The reversal of 82927821 is 12872928.

It is an interprime number because it is at equal distance from previous prime (82927813) and next prime (82927829).

It is not a de Polignac number, because 82927821 - 2³ = 82927813 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82927821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82927829) 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 15 ways as a sum of consecutive naturals, for example, 44376 + ... + 46206.

It is an arithmetic number, because the mean of its divisors is an integer number (7152128).

Almost surely, 2^82927821 is an apocalyptic number.

It is an amenable number.

82927821 is a deficient number, since it is larger than the sum of its proper divisors (31506227).

82927821 is a wasteful number, since it uses less digits than its factorization.

82927821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352.

The product of its digits is 32256, while the sum is 39.

The square root of 82927821 is about 9106.4713802878. The cubic root of 82927821 is about 436.0805847317.

The spelling of 82927821 in words is "eighty-two million, nine hundred twenty-seven thousand, eight hundred twenty-one".