82920321 has 32 divisors (see below), whose sum is σ = 135561600. Its totient is φ = 49674240.

The previous prime is 82920317. The next prime is 82920337. The reversal of 82920321 is 12302928.

It is a happy number.

It is not a de Polignac number, because 82920321 - 2² = 82920317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82920371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24865 + ... + 28001.

It is an arithmetic number, because the mean of its divisors is an integer number (4236300).

Almost surely, 2^82920321 is an apocalyptic number.

It is an amenable number.

82920321 is a deficient number, since it is larger than the sum of its proper divisors (52641279).

82920321 is a wasteful number, since it uses less digits than its factorization.

82920321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82920321 is about 9106.0595759088. The cubic root of 82920321 is about 436.0674379455.

The spelling of 82920321 in words is "eighty-two million, nine hundred twenty thousand, three hundred twenty-one".