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131397 = 376257
BaseRepresentation
bin100000000101000101
320200020120
4200011011
513201042
62452153
71055040
oct400505
9220216
10131397
118a7a2
1264059
1347a66
1435c57
1528dec
hex20145

131397 has 8 divisors (see below), whose sum is σ = 200256. Its totient is φ = 75072.

The previous prime is 131381. The next prime is 131413. The reversal of 131397 is 793131.

It is an interprime number because it is at equal distance from previous prime (131381) and next prime (131413).

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

It is not a de Polignac number, because 131397 - 24 = 131381 is a prime.

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 131397.

It is not an unprimeable number, because it can be changed into a prime (131317) 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 7 ways as a sum of consecutive naturals, for example, 3108 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (25032).

2131397 is an apocalyptic number.

It is an amenable number.

131397 is a deficient number, since it is larger than the sum of its proper divisors (68859).

131397 is an equidigital number, since it uses as much as digits as its factorization.

131397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267.

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

The square root of 131397 is about 362.4872411548. The cubic root of 131397 is about 50.8387834940.

It can be divided in two parts, 131 and 397, that added together give a triangular number (528 = T32).

The spelling of 131397 in words is "one hundred thirty-one thousand, three hundred ninety-seven".

Divisors: 1 3 7 21 6257 18771 43799 131397