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608164921 = 721322712
BaseRepresentation
bin100100001111111…
…101110000111001
31120101100222102201
4210033331300321
52221142234141
6140203030201
721033213400
oct4417756071
91511328381
10608164921
11292325341
1214b80b361
1398cc7100
145aab0637
15385d2031
hex243fdc39

608164921 has 27 divisors (see below), whose sum is σ = 768900303. Its totient is φ = 479409840.

The previous prime is 608164891. The next prime is 608164951. The reversal of 608164921 is 129461806.

It is a happy number.

The square root of 608164921 is 24661.

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

It is an interprime number because it is at equal distance from previous prime (608164891) and next prime (608164951).

It can be written as a sum of positive squares in only one way, i.e., 89965225 + 518199696 = 9485^2 + 22764^2 .

It is not a de Polignac number, because 608164921 - 27 = 608164793 is a prime.

It is a super-2 number, since 2×6081649212 = 739729142269872482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (608164951) 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 26 ways as a sum of consecutive naturals, for example, 2244016 + ... + 2244286.

It is an arithmetic number, because the mean of its divisors is an integer number (28477789).

Almost surely, 2608164921 is an apocalyptic number.

608164921 is the 24661-st square number.

608164921 is the 12331-st centered octagonal number.

It is an amenable number.

608164921 is a deficient number, since it is larger than the sum of its proper divisors (160735382).

608164921 is an equidigital number, since it uses as much as digits as its factorization.

608164921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 608164921 is about 847.2413082005.

Multiplying 608164921 by its product of nonzero digits (20736), we get a square (12610907801856 = 35511842).

The spelling of 608164921 in words is "six hundred eight million, one hundred sixty-four thousand, nine hundred twenty-one".

Divisors: 1 7 13 49 91 169 271 637 1183 1897 3523 8281 13279 24661 45799 73441 172627 320593 514087 954733 2244151 3598609 6683131 12411529 46781917 86880703 608164921