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133287 = 3711577
BaseRepresentation
bin100000100010100111
320202211120
4200202213
513231122
62505023
71063410
oct404247
9222746
10133287
1191160
1265173
134888b
1436807
152975c
hex208a7

133287 has 16 divisors (see below), whose sum is σ = 221952. Its totient is φ = 69120.

The previous prime is 133283. The next prime is 133303. The reversal of 133287 is 782331.

It is not a de Polignac number, because 133287 - 22 = 133283 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133283) 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 15 ways as a sum of consecutive naturals, for example, 58 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (13872).

133287 is a Friedman number, since it can be written as 7*(138^2-3), using all its digits and the basic arithmetic operations.

2133287 is an apocalyptic number.

133287 is a deficient number, since it is larger than the sum of its proper divisors (88665).

133287 is a wasteful number, since it uses less digits than its factorization.

133287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its digits is 1008, while the sum is 24.

The square root of 133287 is about 365.0849216278. The cubic root of 133287 is about 51.0813771956.

The spelling of 133287 in words is "one hundred thirty-three thousand, two hundred eighty-seven".

Divisors: 1 3 7 11 21 33 77 231 577 1731 4039 6347 12117 19041 44429 133287