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97643325 = 352131743137
BaseRepresentation
bin1011101000111…
…10101100111101
320210201210110110
411310132230331
5144444041300
613404500233
72263645263
oct564365475
9223653413
1097643325
115013196a
122884a679
13172c9c20
14cd7a433
15888b550
hex5d1eb3d

97643325 has 96 divisors (see below), whose sum is σ = 189737856. Its totient is φ = 43868160.

The previous prime is 97643323. The next prime is 97643327. The reversal of 97643325 is 52334679.

97643325 is a nontrivial binomial coefficient, being equal to C(13975, 2).

It is an interprime number because it is at equal distance from previous prime (97643323) and next prime (97643327).

It is not a de Polignac number, because 97643325 - 21 = 97643323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97643323) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 712657 + ... + 712793.

It is an arithmetic number, because the mean of its divisors is an integer number (1976436).

Almost surely, 297643325 is an apocalyptic number.

97643325 is the 13974-th triangular number.

It is an amenable number.

97643325 is a deficient number, since it is larger than the sum of its proper divisors (92094531).

97643325 is a wasteful number, since it uses less digits than its factorization.

97643325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 97643325 is about 9881.4637073664. The cubic root of 97643325 is about 460.4836202280.

The spelling of 97643325 in words is "ninety-seven million, six hundred forty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 43 51 65 75 85 129 137 195 215 221 255 325 411 425 559 645 663 685 731 975 1075 1105 1275 1677 1781 2055 2193 2329 2795 3225 3315 3425 3655 5343 5525 5891 6987 8385 8905 9503 10275 10965 11645 13975 16575 17673 18275 26715 28509 29455 30277 34935 41925 44525 47515 54825 58225 76583 88365 90831 100147 133575 142545 147275 151385 174675 229749 237575 300441 382915 441825 454155 500735 712725 756925 1148745 1301911 1502205 1914575 2270775 2503675 3905733 5743725 6509555 7511025 19528665 32547775 97643325