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941096961 = 3571937787
BaseRepresentation
bin111000000110000…
…000000000000001
32102120211200100000
4320012000000001
53411410100321
6233214550213
732215122630
oct7006000001
92376750300
10941096961
11443252092
12223208369
1311cc8560c
148cdb7517
1557948826
hex38180001

941096961 has 96 divisors (see below), whose sum is σ = 1743938560. Its totient is φ = 495066816.

The previous prime is 941096939. The next prime is 941096969. The reversal of 941096961 is 169690149.

It is not a de Polignac number, because 941096961 - 25 = 941096929 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (941096969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1195410 + ... + 1196196.

It is a Proth number, since it is equal to 1795 ⋅ 219 + 1 and 1795 < 219.

Almost surely, 2941096961 is an apocalyptic number.

It is an amenable number.

941096961 is a deficient number, since it is larger than the sum of its proper divisors (802841599).

941096961 is a wasteful number, since it uses less digits than its factorization.

941096961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 941096961 is about 30677.3036787786. The cubic root of 941096961 is about 979.9670129810.

The spelling of 941096961 in words is "nine hundred forty-one million, ninety-six thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 19 21 27 37 57 63 81 111 133 171 189 243 259 333 399 513 567 703 777 787 999 1197 1539 1701 2109 2331 2361 2997 3591 4617 4921 5509 6327 6993 7083 8991 10773 14763 14953 16527 18981 20979 21249 29119 32319 44289 44859 49581 56943 62937 63747 87357 104671 132867 134577 148743 170829 191241 203833 262071 314013 398601 403731 446229 553261 611499 786213 942039 1195803 1211193 1338687 1659783 1834497 2358639 2826117 3633579 3872827 4979349 5503491 7075917 8478351 11618481 14938047 16510473 25435053 34855443 44814141 49531419 104566329 134442423 313698987 941096961