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805027129 = 17216692
BaseRepresentation
bin101111111110111…
…011110100111001
32002002210121121121
4233332323310321
53122041332004
6211514305241
725643421604
oct5776736471
92062717547
10805027129
11383464885
121a5728221
13caa2311a
1478cb733b
154aa1b854
hex2ffbbd39

805027129 has 9 divisors (see below), whose sum is σ = 855679917. Its totient is φ = 757218624.

The previous prime is 805027109. The next prime is 805027147. The reversal of 805027129 is 921720508.

The square root of 805027129 is 28373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83997225 + 721029904 = 9165^2 + 26852^2 .

It is not a de Polignac number, because 805027129 - 29 = 805026617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 805027094 and 805027103.

It is not an unprimeable number, because it can be changed into a prime (805027109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 481507 + ... + 483175.

Almost surely, 2805027129 is an apocalyptic number.

805027129 is the 28373-rd square number.

805027129 is the 14187-th centered octagonal number.

It is an amenable number.

805027129 is a deficient number, since it is larger than the sum of its proper divisors (50652788).

805027129 is an frugal number, since it uses more digits than its factorization.

805027129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The cubic root of 805027129 is about 930.2581967033.

The spelling of 805027129 in words is "eight hundred five million, twenty-seven thousand, one hundred twenty-nine".

Divisors: 1 17 289 1669 28373 482341 2785561 47354537 805027129