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997109575 = 5273112312
BaseRepresentation
bin111011011011101…
…010111101000111
32120111020102012021
4323123222331013
54020230001300
6242535304011
733465202000
oct7333527507
92514212167
10997109575
1147192a200
12239b1b007
1312b767687
14965d81a7
155c80ed1a
hex3b6eaf47

997109575 has 108 divisors (see below), whose sum is σ = 1637655600. Its totient is φ = 601524000.

The previous prime is 997109557. The next prime is 997109609. The reversal of 997109575 is 575901799.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

997109575 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 997109575 - 27 = 997109447 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32164810 + ... + 32164840.

Almost surely, 2997109575 is an apocalyptic number.

997109575 is a deficient number, since it is larger than the sum of its proper divisors (640546025).

997109575 is a wasteful number, since it uses less digits than its factorization.

997109575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 893025, while the sum is 52.

The square root of 997109575 is about 31577.0418975559. The cubic root of 997109575 is about 999.0355952224.

The spelling of 997109575 in words is "nine hundred ninety-seven million, one hundred nine thousand, five hundred seventy-five".

Divisors: 1 5 7 11 25 31 35 49 55 77 121 155 175 217 245 275 341 343 385 539 605 775 847 961 1085 1225 1519 1705 1715 1925 2387 2695 3025 3751 3773 4235 4805 5425 5929 6727 7595 8525 8575 10571 10633 11935 13475 16709 18755 18865 21175 24025 26257 29645 33635 37975 41503 47089 52855 53165 59675 73997 83545 93775 94325 116281 116963 131285 148225 168175 183799 207515 235445 264275 265825 329623 369985 417725 517979 581405 584815 656425 813967 918995 1037575 1177225 1286593 1648115 1849925 2589895 2907025 2924075 3625853 4069835 4594975 5697769 6432965 8240575 12949475 18129265 20349175 28488845 32164825 39884383 90646325 142444225 199421915 997109575