872129 has 2 divisors, whose sum is σ = 872130. Its totient is φ = 872128.

The previous prime is 872107. The next prime is 872141. The reversal of 872129 is 921278.

It is a happy number.

872129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 748225 + 123904 = 865^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 872129 - 2¹² = 868033 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (872149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436064 + 436065.

It is an arithmetic number, because the mean of its divisors is an integer number (436065).

2⁸⁷²¹²⁹ is an apocalyptic number.

It is an amenable number.

872129 is a deficient number, since it is larger than the sum of its proper divisors (1).

872129 is an equidigital number, since it uses as much as digits as its factorization.

872129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 29.

The square root of 872129 is about 933.8784717510. The cubic root of 872129 is about 95.5418345080.

It can be divided in two parts, 872 and 129, that added together give a palindrome (1001).

The spelling of 872129 in words is "eight hundred seventy-two thousand, one hundred twenty-nine".