1007129 has 2 divisors, whose sum is σ = 1007130. Its totient is φ = 1007128.

The previous prime is 1007119. The next prime is 1007137. The reversal of 1007129 is 9217001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 597529 + 409600 = 773^2 + 640^2 .

It is an emirp because it is prime and its reverse (9217001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1007129 - 2¹⁶ = 941593 is a prime.

It is a Chen prime.

It is equal to p₇₉₀₃₁ and since 1007129 and 79031 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1007129.

It is not a weakly prime, because it can be changed into another prime (1007119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503564 + 503565.

It is an arithmetic number, because the mean of its divisors is an integer number (503565).

2^1007129 is an apocalyptic number.

It is an amenable number.

1007129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007129 is an equidigital number, since it uses as much as digits as its factorization.

1007129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1007129 is about 1003.5581697141. The cubic root of 1007129 is about 100.2370708633.

The spelling of 1007129 in words is "one million, seven thousand, one hundred twenty-nine".