82612993 has 2 divisors, whose sum is σ = 82612994. Its totient is φ = 82612992.

The previous prime is 82612963. The next prime is 82612997. The reversal of 82612993 is 39921628.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73564929 + 9048064 = 8577^2 + 3008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82612993 is a prime.

It is a super-2 number, since 2×82612993² = 13649813224836098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82612997) 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, 41306496 + 41306497.

It is an arithmetic number, because the mean of its divisors is an integer number (41306497).

Almost surely, 2^82612993 is an apocalyptic number.

It is an amenable number.

82612993 is a deficient number, since it is larger than the sum of its proper divisors (1).

82612993 is an equidigital number, since it uses as much as digits as its factorization.

82612993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 40.

The square root of 82612993 is about 9089.1689939180. The cubic root of 82612993 is about 435.5280380275.

The spelling of 82612993 in words is "eighty-two million, six hundred twelve thousand, nine hundred ninety-three".