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172985337 = 32722231759
BaseRepresentation
bin10100100111110…
…00101111111001
3110001111120021100
422103320233321
5323241012322
625055402013
74200231300
oct1223705771
9401446240
10172985337
1189711498
1249b23309
1329ab90b5
1418d8d437
15102bedac
hexa4f8bf9

172985337 has 36 divisors (see below), whose sum is σ = 292131840. Its totient is φ = 98349552.

The previous prime is 172985317. The next prime is 172985339. The reversal of 172985337 is 733589271.

It is a happy number.

It is not a de Polignac number, because 172985337 - 27 = 172985209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 172985292 and 172985301.

It is not an unprimeable number, because it can be changed into a prime (172985339) 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 35 ways as a sum of consecutive naturals, for example, 97464 + ... + 99222.

Almost surely, 2172985337 is an apocalyptic number.

It is an amenable number.

172985337 is a deficient number, since it is larger than the sum of its proper divisors (119146503).

172985337 is a wasteful number, since it uses less digits than its factorization.

172985337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 172985337 is about 13152.3890225312. The cubic root of 172985337 is about 557.1897227131.

The spelling of 172985337 in words is "one hundred seventy-two million, nine hundred eighty-five thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 49 63 147 223 441 669 1561 1759 2007 4683 5277 10927 12313 14049 15831 32781 36939 86191 98343 110817 258573 392257 775719 1176771 2745799 3530313 8237397 19220593 24712191 57661779 172985337