83508461 has 2 divisors, whose sum is σ = 83508462. Its totient is φ = 83508460.

The previous prime is 83508427. The next prime is 83508463. The reversal of 83508461 is 16480538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68376361 + 15132100 = 8269^2 + 3890^2 .

It is a cyclic number.

It is not a de Polignac number, because 83508461 - 2¹⁴ = 83492077 is a prime.

Together with 83508463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83508463) 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, 41754230 + 41754231.

It is an arithmetic number, because the mean of its divisors is an integer number (41754231).

Almost surely, 2^83508461 is an apocalyptic number.

It is an amenable number.

83508461 is a deficient number, since it is larger than the sum of its proper divisors (1).

83508461 is an equidigital number, since it uses as much as digits as its factorization.

83508461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 83508461 is about 9138.2963948430. The cubic root of 83508461 is about 437.0959944953.

Subtracting from 83508461 its sum of digits (35), we obtain a triangular number (83508426 = T₁₂₉₂₃).

Adding to 83508461 its reverse (16480538), we get a palindrome (99988999).

The spelling of 83508461 in words is "eighty-three million, five hundred eight thousand, four hundred sixty-one".