1972129 has 2 divisors, whose sum is σ = 1972130. Its totient is φ = 1972128.

The previous prime is 1972123. The next prime is 1972133. The reversal of 1972129 is 9212791.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1210000 + 762129 = 1100^2 + 873^2 .

It is a cyclic number.

It is not a de Polignac number, because 1972129 - 2³ = 1972121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1972129.

It is not a weakly prime, because it can be changed into another prime (1972121) 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, 986064 + 986065.

It is an arithmetic number, because the mean of its divisors is an integer number (986065).

2^1972129 is an apocalyptic number.

It is an amenable number.

1972129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1972129 is an equidigital number, since it uses as much as digits as its factorization.

1972129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 31.

The square root of 1972129 is about 1404.3251048101. The cubic root of 1972129 is about 125.4041108144.

The spelling of 1972129 in words is "one million, nine hundred seventy-two thousand, one hundred twenty-nine".