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946906961 = 71113945961
BaseRepresentation
bin111000011100001…
…010011101010001
32102222202212011012
4320130022131101
53414402010321
6233543300305
732315401460
oct7034123521
92388685135
10946906961
11446560240
1222514a695
1312123aca0
148da8a9d7
15581e505b
hex3870a751

946906961 has 16 divisors (see below), whose sum is σ = 1271372928. Its totient is φ = 681091200.

The previous prime is 946906949. The next prime is 946907011. The reversal of 946906961 is 169609649.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 946906961 - 26 = 946906897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (946906921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471980 + ... + 473981.

It is an arithmetic number, because the mean of its divisors is an integer number (79460808).

Almost surely, 2946906961 is an apocalyptic number.

946906961 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

946906961 is a deficient number, since it is larger than the sum of its proper divisors (324465967).

946906961 is a wasteful number, since it uses less digits than its factorization.

946906961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945992.

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 946906961 is about 30771.8533890957. The cubic root of 946906961 is about 981.9795337687.

The spelling of 946906961 in words is "nine hundred forty-six million, nine hundred six thousand, nine hundred sixty-one".

Divisors: 1 7 11 13 77 91 143 1001 945961 6621727 10405571 12297493 72838997 86082451 135272423 946906961