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997918273 = 1123107191193
BaseRepresentation
bin111011011110110…
…000011001000001
32120112202111112001
4323132300121001
54020431341043
6243004504001
733505110502
oct7336603101
92515674461
10997918273
11472331850
1223a24b001
1312b98b7b1
1496768ba9
155c91e74d
hex3b7b0641

997918273 has 32 divisors (see below), whose sum is σ = 1158561792. Its totient is φ = 850713600.

The previous prime is 997918223. The next prime is 997918289. The reversal of 997918273 is 372819799.

997918273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 12897-th star number.

It is a de Polignac number, because none of the positive numbers 2k-997918273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (997918223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5170465 + ... + 5170657.

It is an arithmetic number, because the mean of its divisors is an integer number (36205056).

Almost surely, 2997918273 is an apocalyptic number.

It is an amenable number.

997918273 is a deficient number, since it is larger than the sum of its proper divisors (160643519).

997918273 is a wasteful number, since it uses less digits than its factorization.

997918273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its digits is 1714608, while the sum is 55.

The square root of 997918273 is about 31589.8444598893. The cubic root of 997918273 is about 999.3056089327.

The spelling of 997918273 in words is "nine hundred ninety-seven million, nine hundred eighteen thousand, two hundred seventy-three".

Divisors: 1 11 23 107 191 193 253 1177 2101 2123 2461 4393 4439 20437 20651 27071 36863 48323 48829 224807 227161 405493 470051 474973 847849 3944341 5170561 5224703 9326339 43387751 90719843 997918273