82167733 has 2 divisors, whose sum is σ = 82167734. Its totient is φ = 82167732.

The previous prime is 82167727. The next prime is 82167751. The reversal of 82167733 is 33776128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61355889 + 20811844 = 7833^2 + 4562^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82167733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82167692 and 82167701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82167433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41083866 + 41083867.

It is an arithmetic number, because the mean of its divisors is an integer number (41083867).

Almost surely, 2^82167733 is an apocalyptic number.

It is an amenable number.

82167733 is a deficient number, since it is larger than the sum of its proper divisors (1).

82167733 is an equidigital number, since it uses as much as digits as its factorization.

82167733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 37.

The square root of 82167733 is about 9064.6419123979. The cubic root of 82167733 is about 434.7441715892.

The spelling of 82167733 in words is "eighty-two million, one hundred sixty-seven thousand, seven hundred thirty-three".