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87332 = 2273119
BaseRepresentation
bin10101010100100100
311102210112
4111110210
510243312
61512152
7512420
oct252444
9142715
1087332
115a683
1242658
133099b
1423b80
151ad22
hex15524

87332 has 12 divisors (see below), whose sum is σ = 174720. Its totient is φ = 37416.

The previous prime is 87323. The next prime is 87337. The reversal of 87332 is 23378.

87332 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 87298 and 87307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87332.

It is not an unprimeable number, because it can be changed into a prime (87337) by changing a digit.

87332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1532 + ... + 1587.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

287332 is an apocalyptic number.

It is an amenable number.

87332 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

87332 is a wasteful number, since it uses less digits than its factorization.

87332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3128 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 87332 is about 295.5198808879. The cubic root of 87332 is about 44.3667689554.

The spelling of 87332 in words is "eighty-seven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 3119 6238 12476 21833 43666 87332