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975875121 = 36132892
BaseRepresentation
bin111010001010101…
…010110000110001
32112000021121000000
4322022222300301
53444311000441
6240500220213
733116541654
oct7212526061
92460247000
10975875121
11460946471
1223299a669
13127241400
149386b89b
155aa182b6
hex3a2aac31

975875121 has 63 divisors (see below), whose sum is σ = 1602352209. Its totient is φ = 593790912.

The previous prime is 975875113. The next prime is 975875129. The reversal of 975875121 is 121578579.

The square root of 975875121 is 31239.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (975875113) and next prime (975875129).

It can be written as a sum of positive squares in 4 ways, for example, as 426629025 + 549246096 = 20655^2 + 23436^2 .

It is not a de Polignac number, because 975875121 - 23 = 975875113 is a prime.

It is a super-3 number, since 3×9758751213 (a number of 28 digits) contains 333 as substring.

Its product of digits (176400) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (975875129) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10964845 + ... + 10964933.

Almost surely, 2975875121 is an apocalyptic number.

975875121 is the 31239-th square number.

975875121 is the 15620-th centered octagonal number.

It is an amenable number.

975875121 is a deficient number, since it is larger than the sum of its proper divisors (626477088).

975875121 is an frugal number, since it uses more digits than its factorization.

975875121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 105 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The cubic root of 975875121 is about 991.8928249983.

Multiplying 975875121 by its product of digits (176400), we get a square (172144371344400 = 131203802).

It can be divided in two parts, 975 and 875121, that added together give a square (876096 = 9362).

The spelling of 975875121 in words is "nine hundred seventy-five million, eight hundred seventy-five thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 89 117 169 243 267 351 507 729 801 1053 1157 1521 2403 3159 3471 4563 7209 7921 9477 10413 13689 15041 21627 23763 31239 41067 45123 64881 71289 93717 102973 123201 135369 213867 281151 308919 406107 641601 843453 926757 1218321 1338649 1924803 2780271 3654963 4015947 5774409 8340813 10964889 12047841 25022439 36143523 75067317 108430569 325291707 975875121