102772517 has 2 divisors, whose sum is σ = 102772518. Its totient is φ = 102772516.

The previous prime is 102772499. The next prime is 102772519. The reversal of 102772517 is 715277201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81252196 + 21520321 = 9014^2 + 4639^2 .

It is a cyclic number.

It is not a de Polignac number, because 102772517 - 2²⁶ = 35663653 is a prime.

Together with 102772519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102772519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51386258 + 51386259.

It is an arithmetic number, because the mean of its divisors is an integer number (51386259).

Almost surely, 2^102772517 is an apocalyptic number.

It is an amenable number.

102772517 is a deficient number, since it is larger than the sum of its proper divisors (1).

102772517 is an equidigital number, since it uses as much as digits as its factorization.

102772517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 102772517 is about 10137.6780872150. The cubic root of 102772517 is about 468.4094673518.

The spelling of 102772517 in words is "one hundred two million, seven hundred seventy-two thousand, five hundred seventeen".