82193921 has 2 divisors, whose sum is σ = 82193922. Its totient is φ = 82193920.

The previous prime is 82193899. The next prime is 82193959. The reversal of 82193921 is 12939128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41731600 + 40462321 = 6460^2 + 6361^2 .

It is a cyclic number.

It is not a de Polignac number, because 82193921 - 2¹⁰ = 82192897 is a prime.

It is not a weakly prime, because it can be changed into another prime (82193621) 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 as a sum of consecutive naturals, namely, 41096960 + 41096961.

It is an arithmetic number, because the mean of its divisors is an integer number (41096961).

Almost surely, 2^82193921 is an apocalyptic number.

It is an amenable number.

82193921 is a deficient number, since it is larger than the sum of its proper divisors (1).

82193921 is an equidigital number, since it uses as much as digits as its factorization.

82193921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 35.

The square root of 82193921 is about 9066.0863110826. The cubic root of 82193921 is about 434.7903530225.

The spelling of 82193921 in words is "eighty-two million, one hundred ninety-three thousand, nine hundred twenty-one".