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91329 = 374349
BaseRepresentation
bin10110010011000001
311122021120
4112103001
510410304
61542453
7530160
oct262301
9148246
1091329
1162687
1244a29
1332754
14253d7
151c0d9
hex164c1

91329 has 8 divisors (see below), whose sum is σ = 139200. Its totient is φ = 52176.

The previous prime is 91309. The next prime is 91331. The reversal of 91329 is 92319.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 91329 - 25 = 91297 is a prime.

It is a Curzon number.

91329 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 91299 and 91308.

It is not an unprimeable number, because it can be changed into a prime (91309) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2154 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (17400).

291329 is an apocalyptic number.

It is an amenable number.

91329 is a deficient number, since it is larger than the sum of its proper divisors (47871).

91329 is a wasteful number, since it uses less digits than its factorization.

91329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359.

The product of its digits is 486, while the sum is 24.

The square root of 91329 is about 302.2068827807. The cubic root of 91329 is about 45.0335552195.

Subtracting 91329 from its reverse (92319), we obtain a triangular number (990 = T44).

The spelling of 91329 in words is "ninety-one thousand, three hundred twenty-nine".

Divisors: 1 3 7 21 4349 13047 30443 91329