83208953 has 2 divisors, whose sum is σ = 83208954. Its totient is φ = 83208952.

The previous prime is 83208907. The next prime is 83208989. The reversal of 83208953 is 35980238.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76090729 + 7118224 = 8723^2 + 2668^2 .

It is a cyclic number.

It is not a de Polignac number, because 83208953 - 2⁶ = 83208889 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83208253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41604476 + 41604477.

It is an arithmetic number, because the mean of its divisors is an integer number (41604477).

Almost surely, 2^83208953 is an apocalyptic number.

It is an amenable number.

83208953 is a deficient number, since it is larger than the sum of its proper divisors (1).

83208953 is an equidigital number, since it uses as much as digits as its factorization.

83208953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 83208953 is about 9121.8941563691. The cubic root of 83208953 is about 436.5728117020.

The spelling of 83208953 in words is "eighty-three million, two hundred eight thousand, nine hundred fifty-three".