82737673 has 2 divisors, whose sum is σ = 82737674. Its totient is φ = 82737672.

The previous prime is 82737619. The next prime is 82737709. The reversal of 82737673 is 37673728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82391929 + 345744 = 9077^2 + 588^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82737673 is a prime.

It is not a weakly prime, because it can be changed into another prime (82737073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41368836 + 41368837.

It is an arithmetic number, because the mean of its divisors is an integer number (41368837).

Almost surely, 2^82737673 is an apocalyptic number.

It is an amenable number.

82737673 is a deficient number, since it is larger than the sum of its proper divisors (1).

82737673 is an equidigital number, since it uses as much as digits as its factorization.

82737673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 296352, while the sum is 43.

The square root of 82737673 is about 9096.0251208976. The cubic root of 82737673 is about 435.7470283632.

The spelling of 82737673 in words is "eighty-two million, seven hundred thirty-seven thousand, six hundred seventy-three".