10616129 has 2 divisors, whose sum is σ = 10616130. Its totient is φ = 10616128.

The previous prime is 10616093. The next prime is 10616147. The reversal of 10616129 is 92161601.

10616129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9120400 + 1495729 = 3020^2 + 1223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10616129 - 2⁸ = 10615873 is a prime.

It is a super-2 number, since 2×10616129² = 225404389889282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10616098 and 10616107.

It is not a weakly prime, because it can be changed into another prime (10616149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5308064 + 5308065.

It is an arithmetic number, because the mean of its divisors is an integer number (5308065).

Almost surely, 2^10616129 is an apocalyptic number.

It is an amenable number.

10616129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10616129 is an equidigital number, since it uses as much as digits as its factorization.

10616129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 10616129 is about 3258.2401691711. The cubic root of 10616129 is about 219.7802833943.

The spelling of 10616129 in words is "ten million, six hundred sixteen thousand, one hundred twenty-nine".