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84319411 = 11313741163
BaseRepresentation
bin1010000011010…
…01110010110011
312212122212111011
411001221302303
5133041210121
612211131351
72042463121
oct501516263
9185585434
1084319411
1143661470
12242a3b57
1314613457
14b2ac911
1576087e1
hex5069cb3

84319411 has 32 divisors (see below), whose sum is σ = 100509696. Its totient is φ = 69984000.

The previous prime is 84319409. The next prime is 84319429. The reversal of 84319411 is 11491348.

It is a 8-Lehmer number, since φ(84319411) divides (84319411-1)8.

It is a cyclic number.

It is not a de Polignac number, because 84319411 - 21 = 84319409 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (84319471) 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 31 ways as a sum of consecutive naturals, for example, 517216 + ... + 517378.

It is an arithmetic number, because the mean of its divisors is an integer number (3140928).

Almost surely, 284319411 is an apocalyptic number.

84319411 is a deficient number, since it is larger than the sum of its proper divisors (16190285).

84319411 is a wasteful number, since it uses less digits than its factorization.

84319411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its digits is 3456, while the sum is 31.

The square root of 84319411 is about 9182.5601549895. The cubic root of 84319411 is about 438.5063176615.

The spelling of 84319411 in words is "eighty-four million, three hundred nineteen thousand, four hundred eleven".

Divisors: 1 11 31 37 41 163 341 407 451 1147 1271 1517 1793 5053 6031 6683 12617 13981 16687 47027 55583 66341 73513 186961 207173 247271 517297 2056571 2278903 2719981 7665401 84319411