102065657 has 2 divisors, whose sum is σ = 102065658. Its totient is φ = 102065656.

The previous prime is 102065653. The next prime is 102065659. The reversal of 102065657 is 756560201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100480576 + 1585081 = 10024^2 + 1259^2 .

It is a cyclic number.

It is not a de Polignac number, because 102065657 - 2² = 102065653 is a prime.

Together with 102065659, 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 (102065653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51032828 + 51032829.

It is an arithmetic number, because the mean of its divisors is an integer number (51032829).

Almost surely, 2^102065657 is an apocalyptic number.

It is an amenable number.

102065657 is a deficient number, since it is larger than the sum of its proper divisors (1).

102065657 is an equidigital number, since it uses as much as digits as its factorization.

102065657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 102065657 is about 10102.7549213074. The cubic root of 102065657 is about 467.3331033219. Note that the first 3 decimals are identical.

The spelling of 102065657 in words is "one hundred two million, sixty-five thousand, six hundred fifty-seven".