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325116961 = 132192732
BaseRepresentation
bin10011011000001…
…110010000100001
3211122202122121221
4103120032100201
51131212220321
652132215041
711025306601
oct2330162041
9748678557
10325116961
1115757a204
1290a6a481
1352483300
1431270c01
151d820e41
hex1360e421

325116961 has 27 divisors (see below), whose sum is σ = 376713369. Its totient is φ = 280418112.

The previous prime is 325116947. The next prime is 325116977. The reversal of 325116961 is 169611523.

The square root of 325116961 is 18031.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32706961 + 292410000 = 5719^2 + 17100^2 .

It is not a de Polignac number, because 325116961 - 25 = 325116929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (325116901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4453621 + ... + 4453693.

It is an arithmetic number, because the mean of its divisors is an integer number (13952347).

Almost surely, 2325116961 is an apocalyptic number.

325116961 is the 18031-st square number.

325116961 is the 9016-th centered octagonal number.

It is an amenable number.

325116961 is a deficient number, since it is larger than the sum of its proper divisors (51596408).

325116961 is an equidigital number, since it uses as much as digits as its factorization.

325116961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its digits is 9720, while the sum is 34.

The cubic root of 325116961 is about 687.6169002758.

The spelling of 325116961 in words is "three hundred twenty-five million, one hundred sixteen thousand, nine hundred sixty-one".

Divisors: 1 13 19 73 169 247 361 949 1387 3211 4693 5329 12337 18031 26353 61009 69277 101251 234403 342589 900601 1316263 1923769 4453657 17111419 25008997 325116961