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968925321 = 35713431019
BaseRepresentation
bin111001110000001…
…010000010001001
32111112012111200000
4321300022002021
53441021102241
6240051233213
733003505110
oct7160120211
92445174600
10968925321
11457a29a31
122305a8809
13125979cc0
149297cc77
155a0e3eb6
hex39c0a089

968925321 has 96 divisors (see below), whose sum is σ = 1829667840. Its totient is φ = 498705984.

The previous prime is 968925313. The next prime is 968925323. The reversal of 968925321 is 123529869.

It is not a de Polignac number, because 968925321 - 23 = 968925313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (968925323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 950350 + ... + 951368.

It is an arithmetic number, because the mean of its divisors is an integer number (19059040).

Almost surely, 2968925321 is an apocalyptic number.

968925321 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

968925321 is a deficient number, since it is larger than the sum of its proper divisors (860742519).

968925321 is a wasteful number, since it uses less digits than its factorization.

968925321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 968925321 is about 31127.5652918759. The cubic root of 968925321 is about 989.5325892725.

The spelling of 968925321 in words is "nine hundred sixty-eight million, nine hundred twenty-five thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 43 63 81 91 117 129 189 243 273 301 351 387 559 567 819 903 1019 1053 1161 1677 1701 2457 2709 3057 3159 3483 3913 5031 7133 7371 8127 9171 10449 11739 13247 15093 21399 22113 24381 27513 35217 39741 43817 45279 64197 73143 82539 92729 105651 119223 131451 135837 192591 247617 278187 306719 316953 357669 394353 569621 577773 834561 920157 950859 1073007 1183059 1708863 1733319 2503683 2760471 3219021 3549177 3987347 5126589 7511049 8281413 10647531 11962041 15379767 22533147 24844239 35886123 46139301 74532717 107658369 138417903 322975107 968925321