116517629 has 2 divisors, whose sum is σ = 116517630. Its totient is φ = 116517628.

The previous prime is 116517607. The next prime is 116517631. The reversal of 116517629 is 926715611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99460729 + 17056900 = 9973^2 + 4130^2 .

It is a cyclic number.

It is not a de Polignac number, because 116517629 - 2¹⁶ = 116452093 is a prime.

Together with 116517631, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6654467 and since 116517629 and 6654467 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 116517592 and 116517601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (116517529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58258814 + 58258815.

It is an arithmetic number, because the mean of its divisors is an integer number (58258815).

Almost surely, 2^116517629 is an apocalyptic number.

It is an amenable number.

116517629 is a deficient number, since it is larger than the sum of its proper divisors (1).

116517629 is an equidigital number, since it uses as much as digits as its factorization.

116517629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 38.

The square root of 116517629 is about 10794.3331892248. Note that the first 3 decimals coincide. The cubic root of 116517629 is about 488.4242439150.

The spelling of 116517629 in words is "one hundred sixteen million, five hundred seventeen thousand, six hundred twenty-nine".