102825161 has 2 divisors, whose sum is σ = 102825162. Its totient is φ = 102825160.

The previous prime is 102825133. The next prime is 102825187. The reversal of 102825161 is 161528201.

It is an a-pointer prime, because the next prime (102825187) can be obtained adding 102825161 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73188025 + 29637136 = 8555^2 + 5444^2 .

It is a cyclic number.

It is not a de Polignac number, because 102825161 - 2¹⁴ = 102808777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102825161.

It is not a weakly prime, because it can be changed into another prime (102825361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51412580 + 51412581.

It is an arithmetic number, because the mean of its divisors is an integer number (51412581).

Almost surely, 2^102825161 is an apocalyptic number.

It is an amenable number.

102825161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102825161 is an equidigital number, since it uses as much as digits as its factorization.

102825161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 102825161 is about 10140.2742073378. The cubic root of 102825161 is about 468.4894327599.

The spelling of 102825161 in words is "one hundred two million, eight hundred twenty-five thousand, one hundred sixty-one".