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96822 = 23311163
BaseRepresentation
bin10111101000110110
311220211000
4113220312
511044242
62024130
7552165
oct275066
9156730
1096822
1166820
1248046
13350bb
14273dc
151da4c
hex17a36

96822 has 32 divisors (see below), whose sum is σ = 236160. Its totient is φ = 29160.

The previous prime is 96821. The next prime is 96823. The reversal of 96822 is 22869.

It is an interprime number because it is at equal distance from previous prime (96821) and next prime (96823).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 513 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

296822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118080).

96822 is an abundant number, since it is smaller than the sum of its proper divisors (139338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96822 is a wasteful number, since it uses less digits than its factorization.

96822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 96822 is about 311.1623370525. The cubic root of 96822 is about 45.9188866699.

It can be divided in two parts, 968 and 22, that added together give a triangular number (990 = T44).

The spelling of 96822 in words is "ninety-six thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 489 594 978 1467 1793 2934 3586 4401 5379 8802 10758 16137 32274 48411 96822