82573853 has 2 divisors, whose sum is σ = 82573854. Its totient is φ = 82573852.

The previous prime is 82573831. The next prime is 82573861. The reversal of 82573853 is 35837528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53392249 + 29181604 = 7307^2 + 5402^2 .

It is a cyclic number.

It is not a de Polignac number, because 82573853 - 2⁶ = 82573789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82573853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82573823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41286926 + 41286927.

It is an arithmetic number, because the mean of its divisors is an integer number (41286927).

Almost surely, 2^82573853 is an apocalyptic number.

It is an amenable number.

82573853 is a deficient number, since it is larger than the sum of its proper divisors (1).

82573853 is an equidigital number, since it uses as much as digits as its factorization.

82573853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 41.

The square root of 82573853 is about 9087.0156267061. The cubic root of 82573853 is about 435.4592463456.

The spelling of 82573853 in words is "eighty-two million, five hundred seventy-three thousand, eight hundred fifty-three".