Search a number
-
+
33097 = 231439
BaseRepresentation
bin1000000101001001
31200101211
420011021
52024342
6413121
7165331
oct100511
950354
1033097
1122959
12171a1
13120ac
14c0c1
159c17
hex8149

33097 has 4 divisors (see below), whose sum is σ = 34560. Its totient is φ = 31636.

The previous prime is 33091. The next prime is 33107. The reversal of 33097 is 79033.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 79033 = 174649.

It is a cyclic number.

It is not a de Polignac number, because 33097 - 27 = 32969 is a prime.

It is a super-2 number, since 2×330972 = 2190822818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 697 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

233097 is an apocalyptic number.

It is an amenable number.

33097 is a deficient number, since it is larger than the sum of its proper divisors (1463).

33097 is a wasteful number, since it uses less digits than its factorization.

33097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 33097 is about 181.9258090541. The cubic root of 33097 is about 32.1067399143.

The spelling of 33097 in words is "thirty-three thousand, ninety-seven".

Divisors: 1 23 1439 33097