83217961 has 2 divisors, whose sum is σ = 83217962. Its totient is φ = 83217960.

The previous prime is 83217931. The next prime is 83217971. The reversal of 83217961 is 16971238.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41679936 + 41538025 = 6456^2 + 6445^2 .

It is a cyclic number.

It is not a de Polignac number, because 83217961 - 2¹³ = 83209769 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83217961.

It is not a weakly prime, because it can be changed into another prime (83217931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41608980 + 41608981.

It is an arithmetic number, because the mean of its divisors is an integer number (41608981).

Almost surely, 2^83217961 is an apocalyptic number.

It is an amenable number.

83217961 is a deficient number, since it is larger than the sum of its proper divisors (1).

83217961 is an equidigital number, since it uses as much as digits as its factorization.

83217961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 37.

The square root of 83217961 is about 9122.3879001060. The cubic root of 83217961 is about 436.5885652391.

The spelling of 83217961 in words is "eighty-three million, two hundred seventeen thousand, nine hundred sixty-one".