82149073 has 2 divisors, whose sum is σ = 82149074. Its totient is φ = 82149072.

The previous prime is 82148999. The next prime is 82149121. The reversal of 82149073 is 37094128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67617729 + 14531344 = 8223^2 + 3812^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82149073 is a prime.

It is not a weakly prime, because it can be changed into another prime (82143073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41074536 + 41074537.

It is an arithmetic number, because the mean of its divisors is an integer number (41074537).

Almost surely, 2^82149073 is an apocalyptic number.

It is an amenable number.

82149073 is a deficient number, since it is larger than the sum of its proper divisors (1).

82149073 is an equidigital number, since it uses as much as digits as its factorization.

82149073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 82149073 is about 9063.6125799816. The cubic root of 82149073 is about 434.7112594791.

It can be divided in two parts, 821 and 49073, that added together give a palindrome (49894).

The spelling of 82149073 in words is "eighty-two million, one hundred forty-nine thousand, seventy-three".