10152617 has 2 divisors, whose sum is σ = 10152618. Its totient is φ = 10152616.

The previous prime is 10152599. The next prime is 10152619. The reversal of 10152617 is 71625101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10118761 + 33856 = 3181^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 10152617 - 2¹⁰ = 10151593 is a prime.

Together with 10152619, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10152592 and 10152601.

It is not a weakly prime, because it can be changed into another prime (10152619) 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, 5076308 + 5076309.

It is an arithmetic number, because the mean of its divisors is an integer number (5076309).

Almost surely, 2^10152617 is an apocalyptic number.

It is an amenable number.

10152617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10152617 is an equidigital number, since it uses as much as digits as its factorization.

10152617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 10152617 is about 3186.3171530781. The cubic root of 10152617 is about 216.5339513343.

Adding to 10152617 its reverse (71625101), we get a palindrome (81777718).

The spelling of 10152617 in words is "ten million, one hundred fifty-two thousand, six hundred seventeen".