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331197 = 3532083
BaseRepresentation
bin1010000110110111101
3121211022120
41100312331
541044242
611033153
72546406
oct1206675
9554276
10331197
11206919
1213b7b9
13b7999
14889ad
15681ec
hex50dbd

331197 has 8 divisors (see below), whose sum is σ = 450144. Its totient is φ = 216528.

The previous prime is 331183. The next prime is 331207. The reversal of 331197 is 791133.

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

It is not a de Polignac number, because 331197 - 214 = 314813 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

331197 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331197.

It is not an unprimeable number, because it can be changed into a prime (331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (56268).

2331197 is an apocalyptic number.

It is an amenable number.

331197 is a deficient number, since it is larger than the sum of its proper divisors (118947).

331197 is a wasteful number, since it uses less digits than its factorization.

331197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139.

The product of its digits is 567, while the sum is 24.

The square root of 331197 is about 575.4971763614. The cubic root of 331197 is about 69.1876847787.

It can be divided in two parts, 331 and 197, that added together give a triangular number (528 = T32).

The spelling of 331197 in words is "three hundred thirty-one thousand, one hundred ninety-seven".

Divisors: 1 3 53 159 2083 6249 110399 331197