Search a number
-
+
85975357 = 1323421683
BaseRepresentation
bin1010001111111…
…10000100111101
312222210000000111
411013332010331
5134002202412
612310430021
72062531006
oct507760475
9188700014
1085975357
1144592616
1224962311
1314a730c0
14b5c01ad
1578342a7
hex51fe13d

85975357 has 16 divisors (see below), whose sum is σ = 96985728. Its totient is φ = 75620160.

The previous prime is 85975339. The next prime is 85975367. The reversal of 85975357 is 75357958.

It is a cyclic number.

It is not a de Polignac number, because 85975357 - 27 = 85975229 is a prime.

It is a super-3 number, since 3×859753573 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85975357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85975327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125538 + ... + 126220.

It is an arithmetic number, because the mean of its divisors is an integer number (6061608).

Almost surely, 285975357 is an apocalyptic number.

It is an amenable number.

85975357 is a deficient number, since it is larger than the sum of its proper divisors (11010371).

85975357 is a wasteful number, since it uses less digits than its factorization.

85975357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140.

The product of its digits is 1323000, while the sum is 49.

The square root of 85975357 is about 9272.2897387862. The cubic root of 85975357 is about 441.3583316258.

The spelling of 85975357 in words is "eighty-five million, nine hundred seventy-five thousand, three hundred fifty-seven".

Divisors: 1 13 23 299 421 683 5473 8879 9683 15709 125879 204217 287543 3738059 6613489 85975357