82417961 has 2 divisors, whose sum is σ = 82417962. Its totient is φ = 82417960.

The previous prime is 82417957. The next prime is 82417963. The reversal of 82417961 is 16971428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69139225 + 13278736 = 8315^2 + 3644^2 .

It is a cyclic number.

It is not a de Polignac number, because 82417961 - 2² = 82417957 is a prime.

Together with 82417963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82417963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41208980 + 41208981.

It is an arithmetic number, because the mean of its divisors is an integer number (41208981).

Almost surely, 2^82417961 is an apocalyptic number.

It is an amenable number.

82417961 is a deficient number, since it is larger than the sum of its proper divisors (1).

82417961 is an equidigital number, since it uses as much as digits as its factorization.

82417961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 38.

The square root of 82417961 is about 9078.4338407018. The cubic root of 82417961 is about 435.1850377625.

The spelling of 82417961 in words is "eighty-two million, four hundred seventeen thousand, nine hundred sixty-one".