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83965701 = 32931163191
BaseRepresentation
bin1010000000100…
…11011100000101
312211222220021210
411000103130011
5132443400301
612155402033
72036460651
oct500233405
9184886253
1083965701
114343a746
1224153319
131451b461
14b219a61
157588ad6
hex5013705

83965701 has 32 divisors (see below), whose sum is σ = 120913920. Its totient is φ = 51710400.

The previous prime is 83965697. The next prime is 83965729. The reversal of 83965701 is 10756938.

It is not a de Polignac number, because 83965701 - 22 = 83965697 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 83965701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83965741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439516 + ... + 439706.

It is an arithmetic number, because the mean of its divisors is an integer number (3778560).

Almost surely, 283965701 is an apocalyptic number.

It is an amenable number.

83965701 is a deficient number, since it is larger than the sum of its proper divisors (36948219).

83965701 is a wasteful number, since it uses less digits than its factorization.

83965701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 83965701 is about 9163.2800350093. The cubic root of 83965701 is about 437.8922974901.

It can be divided in two parts, 83965 and 701, that added together give a triangular number (84666 = T411).

The spelling of 83965701 in words is "eighty-three million, nine hundred sixty-five thousand, seven hundred one".

Divisors: 1 3 29 31 87 93 163 191 489 573 899 2697 4727 5053 5539 5921 14181 15159 16617 17763 31133 93399 146537 171709 439611 515127 902857 965123 2708571 2895369 27988567 83965701