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85207167 = 333155821
BaseRepresentation
bin1010001010000…
…10100001111111
312221022222021000
411011002201333
5133303112132
612242141343
72053151253
oct505024177
9187288230
1085207167
1144108451
1224651853
1314864556
14b460263
15773187c
hex514287f

85207167 has 8 divisors (see below), whose sum is σ = 126232880. Its totient is φ = 56804760.

The previous prime is 85207147. The next prime is 85207231. The reversal of 85207167 is 76170258.

85207167 is a `hidden beast` number, since 8 + 520 + 71 + 67 = 666.

It is not a de Polignac number, because 85207167 - 211 = 85205119 is a prime.

It is a super-2 number, since 2×852071672 = 14520522616331778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85207117) 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 7 ways as a sum of consecutive naturals, for example, 1577884 + ... + 1577937.

It is an arithmetic number, because the mean of its divisors is an integer number (15779110).

Almost surely, 285207167 is an apocalyptic number.

85207167 is a deficient number, since it is larger than the sum of its proper divisors (41025713).

85207167 is a wasteful number, since it uses less digits than its factorization.

85207167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155830 (or 3155824 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85207167 is about 9230.7728278839. The cubic root of 85207167 is about 440.0398844699.

The spelling of 85207167 in words is "eighty-five million, two hundred seven thousand, one hundred sixty-seven".

Divisors: 1 3 9 27 3155821 9467463 28402389 85207167