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682735997 = 171096072
BaseRepresentation
bin101000101100011…
…011100101111101
31202120200120201102
4220230123211331
52344240022442
6151425222445
722630105646
oct5054334575
91676616642
10682735997
11320428729
12170791a25
13ab5a63c8
14669626cd
153ee12232
hex28b1b97d

682735997 has 12 divisors (see below), whose sum is σ = 730732860. Its totient is φ = 635630976.

The previous prime is 682735981. The next prime is 682736003. The reversal of 682735997 is 799537286.

It can be written as a sum of positive squares in 2 ways, for example, as 504406681 + 178329316 = 22459^2 + 13354^2 .

It is not a de Polignac number, because 682735997 - 24 = 682735981 is a prime.

It is a super-2 number, since 2×6827359972 = 932256883199168018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682735957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124468 + ... + 1125074.

It is an arithmetic number, because the mean of its divisors is an integer number (60894405).

Almost surely, 2682735997 is an apocalyptic number.

It is an amenable number.

682735997 is a deficient number, since it is larger than the sum of its proper divisors (47996863).

682735997 is an equidigital number, since it uses as much as digits as its factorization.

682735997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 733 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 56.

The square root of 682735997 is about 26129.2173055375. The cubic root of 682735997 is about 880.5437398052.

It can be divided in two parts, 6827 and 35997, that added together give a palindrome (42824).

The spelling of 682735997 in words is "six hundred eighty-two million, seven hundred thirty-five thousand, nine hundred ninety-seven".

Divisors: 1 17 109 607 1853 10319 66163 368449 1124771 6263633 40160941 682735997