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997965801 = 32724352627
BaseRepresentation
bin111011011110111…
…011111111101001
32120112211220201100
4323132323333221
54020434401201
6243005512013
733505366200
oct7336737751
92515756640
10997965801
11472364528
1223a272609
1312b9a7311
149677c237
155c92d886
hex3b7bbfe9

997965801 has 36 divisors (see below), whose sum is σ = 1715883312. Its totient is φ = 556993584.

The previous prime is 997965799. The next prime is 997965803. The reversal of 997965801 is 108569799.

It is an interprime number because it is at equal distance from previous prime (997965799) and next prime (997965803).

It is not a de Polignac number, because 997965801 - 21 = 997965799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (997965803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7351 + ... + 45276.

Almost surely, 2997965801 is an apocalyptic number.

It is an amenable number.

997965801 is a deficient number, since it is larger than the sum of its proper divisors (717917511).

997965801 is a wasteful number, since it uses less digits than its factorization.

997965801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52690 (or 52680 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 997965801 is about 31590.5967180109. The cubic root of 997965801 is about 999.3214733724.

The spelling of 997965801 in words is "nine hundred ninety-seven million, nine hundred sixty-five thousand, eight hundred one".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 2107 2709 6321 18963 52627 157881 368389 473643 1105167 2262961 2578723 3315501 6788883 7736169 15840727 20366649 23208507 47522181 110885089 142566543 332655267 997965801