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85971333 = 3721930781
BaseRepresentation
bin1010001111111…
…01000110000101
312222202210111110
411013331012011
5134002040313
612310355233
72062513200
oct507750605
9188683443
1085971333
114458a598
122495bb19
1314a71316
14b5bc937
157832ec3
hex51fd185

85971333 has 24 divisors (see below), whose sum is σ = 140365920. Its totient is φ = 46539360.

The previous prime is 85971323. The next prime is 85971337. The reversal of 85971333 is 33317958.

It is not a de Polignac number, because 85971333 - 29 = 85970821 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85971291 and 85971300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85971337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12598 + ... + 18183.

It is an arithmetic number, because the mean of its divisors is an integer number (5848580).

Almost surely, 285971333 is an apocalyptic number.

It is an amenable number.

85971333 is a deficient number, since it is larger than the sum of its proper divisors (54394587).

85971333 is a wasteful number, since it uses less digits than its factorization.

85971333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30817 (or 30810 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 85971333 is about 9272.0727456163. The cubic root of 85971333 is about 441.3514457238.

The spelling of 85971333 in words is "eighty-five million, nine hundred seventy-one thousand, three hundred thirty-three".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 30781 92343 215467 584839 646401 1508269 1754517 4093873 4524807 12281619 28657111 85971333