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961683921 = 3511232707
BaseRepresentation
bin111001010100100…
…010000111010001
32111000120121100000
4321110202013101
53432142341141
6235232120213
732555115132
oct7124420721
92430517300
10961683921
11453933400
1222a096069
13124312c53
1491a15c89
15596635b6
hex395221d1

961683921 has 36 divisors (see below), whose sum is σ = 1583459696. Its totient is φ = 582820920.

The previous prime is 961683913. The next prime is 961683941. The reversal of 961683921 is 129386169.

It is a happy number.

961683921 is a `hidden beast` number, since 9 + 616 + 8 + 3 + 9 + 21 = 666.

It is not a de Polignac number, because 961683921 - 23 = 961683913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961683941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13050 + ... + 45756.

Almost surely, 2961683921 is an apocalyptic number.

It is an amenable number.

961683921 is a deficient number, since it is larger than the sum of its proper divisors (621775775).

961683921 is a wasteful number, since it uses less digits than its factorization.

961683921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32744 (or 32721 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 961683921 is about 31011.0290219464. The cubic root of 961683921 is about 987.0612853549.

The spelling of 961683921 in words is "nine hundred sixty-one million, six hundred eighty-three thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 2673 3267 9801 29403 32707 98121 294363 359777 883089 1079331 2649267 3237993 3957547 7947801 9713979 11872641 29141937 35617923 87425811 106853769 320561307 961683921