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96831 = 3272953
BaseRepresentation
bin10111101000111111
311220211100
4113220333
511044311
62024143
7552210
oct275077
9156740
1096831
1166829
1248053
13350c7
1427407
151da56
hex17a3f

96831 has 24 divisors (see below), whose sum is σ = 168480. Its totient is φ = 52416.

The previous prime is 96827. The next prime is 96847. The reversal of 96831 is 13869.

It is not a de Polignac number, because 96831 - 22 = 96827 is a prime.

It is a super-2 number, since 2×968312 = 18752485122, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 96795 and 96804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96821) 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, 1801 + ... + 1853.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

296831 is an apocalyptic number.

96831 is a deficient number, since it is larger than the sum of its proper divisors (71649).

96831 is a wasteful number, since it uses less digits than its factorization.

96831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 96831 is about 311.1767986210. The cubic root of 96831 is about 45.9203094084.

It can be divided in two parts, 968 and 31, that added together give a palindrome (999).

The spelling of 96831 in words is "ninety-six thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 29 53 63 87 159 203 261 371 477 609 1113 1537 1827 3339 4611 10759 13833 32277 96831