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973098961 = 412578881
BaseRepresentation
bin111010000000000…
…100111111010001
32111211001112211021
4322000010333101
53443103131321
6240320515441
733054130132
oct7200047721
92454045737
10973098961
1145a31a71a
12231a7bb81
131267ab903
1493347c89
155a66a941
hex3a004fd1

973098961 has 6 divisors (see below), whose sum is σ = 997413686. Its totient is φ = 949363200.

The previous prime is 973098947. The next prime is 973098967. The reversal of 973098961 is 169890379.

It can be written as a sum of positive squares in 3 ways, for example, as 145443600 + 827655361 = 12060^2 + 28769^2 .

It is not a de Polignac number, because 973098961 - 29 = 973098449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 973098899 and 973098908.

It is not an unprimeable number, because it can be changed into a prime (973098967) 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 5 ways as a sum of consecutive naturals, for example, 287760 + ... + 291121.

Almost surely, 2973098961 is an apocalyptic number.

It is an amenable number.

973098961 is a deficient number, since it is larger than the sum of its proper divisors (24314725).

973098961 is an equidigital number, since it uses as much as digits as its factorization.

973098961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578963 (or 578922 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The square root of 973098961 is about 31194.5341526364. The cubic root of 973098961 is about 990.9513560033.

The spelling of 973098961 in words is "nine hundred seventy-three million, ninety-eight thousand, nine hundred sixty-one".

Divisors: 1 41 1681 578881 23734121 973098961