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972221985 = 325722711627
BaseRepresentation
bin111001111100101…
…110111000100001
32111202101222211200
4321330232320201
53442342100420
6240250031413
733043515300
oct7174567041
92452358750
10972221985
11459880849
12231718569
131265626a7
149319a437
155a545b90
hex39f2ee21

972221985 has 72 divisors (see below), whose sum is σ = 1968759936. Its totient is φ = 442532160.

The previous prime is 972221951. The next prime is 972222023. The reversal of 972221985 is 589122279.

It is a happy number.

It is not a de Polignac number, because 972221985 - 210 = 972220961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 972221985.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 596742 + ... + 598368.

It is an arithmetic number, because the mean of its divisors is an integer number (27343888).

Almost surely, 2972221985 is an apocalyptic number.

It is an amenable number.

972221985 is an abundant number, since it is smaller than the sum of its proper divisors (996537951).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972221985 is a wasteful number, since it uses less digits than its factorization.

972221985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1913 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 972221985 is about 31180.4744190976. The cubic root of 972221985 is about 990.6535782207.

The spelling of 972221985 in words is "nine hundred seventy-two million, two hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 271 315 441 735 813 1355 1627 1897 2205 2439 4065 4881 5691 8135 9485 11389 12195 13279 14643 17073 24405 28455 34167 39837 56945 66395 73215 79723 85365 102501 119511 170835 199185 239169 398615 440917 512505 597555 717507 1195845 1322751 2204585 3086419 3587535 3968253 6613755 9259257 15432095 19841265 21604933 27777771 46296285 64814799 108024665 138888855 194444397 324073995 972221985