202172129 has 2 divisors, whose sum is σ = 202172130. Its totient is φ = 202172128.

The previous prime is 202172123. The next prime is 202172161. The reversal of 202172129 is 921271202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161976529 + 40195600 = 12727^2 + 6340^2 .

It is a cyclic number.

It is not a de Polignac number, because 202172129 - 2²⁰ = 201123553 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 202172098 and 202172107.

It is not a weakly prime, because it can be changed into another prime (202172123) 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, 101086064 + 101086065.

It is an arithmetic number, because the mean of its divisors is an integer number (101086065).

Almost surely, 2^202172129 is an apocalyptic number.

It is an amenable number.

202172129 is a deficient number, since it is larger than the sum of its proper divisors (1).

202172129 is an equidigital number, since it uses as much as digits as its factorization.

202172129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 202172129 is about 14218.7245911861. The cubic root of 202172129 is about 586.9130437204.

The spelling of 202172129 in words is "two hundred two million, one hundred seventy-two thousand, one hundred twenty-nine".