82165723 has 2 divisors, whose sum is σ = 82165724. Its totient is φ = 82165722.

The previous prime is 82165711. The next prime is 82165739. The reversal of 82165723 is 32756128.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82165723 - 2⁵ = 82165691 is a prime.

It is a super-2 number, since 2×82165723² = 13502412072225458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82165753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41082861 + 41082862.

It is an arithmetic number, because the mean of its divisors is an integer number (41082862).

Almost surely, 2^82165723 is an apocalyptic number.

82165723 is a deficient number, since it is larger than the sum of its proper divisors (1).

82165723 is an equidigital number, since it uses as much as digits as its factorization.

82165723 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 82165723 is about 9064.5310413722. The cubic root of 82165723 is about 434.7406266335.

The spelling of 82165723 in words is "eighty-two million, one hundred sixty-five thousand, seven hundred twenty-three".