82137973 has 2 divisors, whose sum is σ = 82137974. Its totient is φ = 82137972.

The previous prime is 82137967. The next prime is 82137989. The reversal of 82137973 is 37973128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82137969 + 4 = 9063^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 82137973 - 2¹³ = 82129781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82137943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41068986 + 41068987.

It is an arithmetic number, because the mean of its divisors is an integer number (41068987).

Almost surely, 2^82137973 is an apocalyptic number.

It is an amenable number.

82137973 is a deficient number, since it is larger than the sum of its proper divisors (1).

82137973 is an equidigital number, since it uses as much as digits as its factorization.

82137973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 82137973 is about 9063.0002206775. Note that the first 3 decimals coincide. The cubic root of 82137973 is about 434.6916791716.

The spelling of 82137973 in words is "eighty-two million, one hundred thirty-seven thousand, nine hundred seventy-three".