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397000725 = 352111923143
BaseRepresentation
bin10111101010011…
…100000000010101
31000200000201121120
4113222130000111
51303113010400
6103221034153
712560310342
oct2752340025
91020021546
10397000725
11194107580
12b0b55959
1364331394
143aa237c9
1524cbeca0
hex17a9c015

397000725 has 144 divisors (see below), whose sum is σ = 798234624. Its totient is φ = 172368000.

The previous prime is 397000697. The next prime is 397000729. The reversal of 397000725 is 527000793.

It is not a de Polignac number, because 397000725 - 25 = 397000693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397000729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9232554 + ... + 9232596.

It is an arithmetic number, because the mean of its divisors is an integer number (5543296).

Almost surely, 2397000725 is an apocalyptic number.

It is an amenable number.

397000725 is an abundant number, since it is smaller than the sum of its proper divisors (401233899).

397000725 is a wasteful number, since it uses less digits than its factorization.

397000725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 397000725 is about 19924.8770385164. The cubic root of 397000725 is about 734.9601070486.

The spelling of 397000725 in words is "three hundred ninety-seven million, seven hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 11 15 19 25 31 33 43 55 57 75 93 95 129 155 165 209 215 275 285 341 361 465 473 475 589 627 645 775 817 825 1023 1045 1075 1083 1333 1419 1425 1705 1767 1805 2325 2365 2451 2945 3135 3225 3971 3999 4085 5115 5225 5415 6479 6665 7095 8525 8835 8987 9025 11191 11825 11913 12255 14663 14725 15523 15675 19437 19855 19995 20425 25327 25575 26961 27075 32395 33325 33573 35475 43989 44175 44935 46569 55955 59565 61275 73315 75981 77615 97185 99275 99975 123101 126635 134805 161975 167865 170753 219945 224675 232845 278597 279775 297825 366575 369303 379905 388075 481213 485925 512259 615505 633175 674025 835791 839325 853765 1099725 1164225 1392985 1443639 1846515 1899525 2406065 2561295 3077525 4178955 4268825 5293343 6964925 7218195 9232575 12030325 12806475 15880029 20894775 26466715 36090975 79400145 132333575 397000725