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1057129 is a prime number
BaseRepresentation
bin100000010000101101001
31222201002221
410002011221
5232312004
634354041
711662003
oct4020551
91881087
101057129
11662267
1242b921
132b0228
141d7373
1515d354
hex102169

1057129 has 2 divisors, whose sum is σ = 1057130. Its totient is φ = 1057128.

The previous prime is 1057117. The next prime is 1057157. The reversal of 1057129 is 9217501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 632025 + 425104 = 795^2 + 652^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057129 - 29 = 1056617 is a prime.

It is a super-2 number, since 2×10571292 = 2235043445282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1007129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528564 + 528565.

It is an arithmetic number, because the mean of its divisors is an integer number (528565).

21057129 is an apocalyptic number.

It is an amenable number.

1057129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057129 is an equidigital number, since it uses as much as digits as its factorization.

1057129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 1057129 is about 1028.1677878634. The cubic root of 1057129 is about 101.8691452844.

The spelling of 1057129 in words is "one million, fifty-seven thousand, one hundred twenty-nine".