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1072129 is a prime number
BaseRepresentation
bin100000101110000000001
32000110200111
410011300001
5233302004
634551321
712053512
oct4056001
92013614
101072129
11672563
12438541
132b6cc6
141dca09
15162a04
hex105c01

1072129 has 2 divisors, whose sum is σ = 1072130. Its totient is φ = 1072128.

The previous prime is 1072103. The next prime is 1072133. The reversal of 1072129 is 9212701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1046529 + 25600 = 1023^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 1072129 - 211 = 1070081 is a prime.

It is a super-2 number, since 2×10721292 = 2298921185282, which contains 22 as substring.

It is a Chen prime.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1072199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536064 + 536065.

It is an arithmetic number, because the mean of its divisors is an integer number (536065).

21072129 is an apocalyptic number.

It is an amenable number.

1072129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072129 is an equidigital number, since it uses as much as digits as its factorization.

1072129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1072129 is about 1035.4366228794. The cubic root of 1072129 is about 102.3487040140.

The spelling of 1072129 in words is "one million, seventy-two thousand, one hundred twenty-nine".