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131967 = 32113143
BaseRepresentation
bin100000001101111111
320201000200
4200031333
513210332
62454543
71056513
oct401577
9221020
10131967
1190170
1264453
13480b4
1436143
152917c
hex2037f

131967 has 24 divisors (see below), whose sum is σ = 219648. Its totient is φ = 75600.

The previous prime is 131959. The next prime is 131969. The reversal of 131967 is 769131.

It is not a de Polignac number, because 131967 - 23 = 131959 is a prime.

It is an Ulam number.

131967 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 131967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3048 + ... + 3090.

It is an arithmetic number, because the mean of its divisors is an integer number (9152).

2131967 is an apocalyptic number.

131967 is a deficient number, since it is larger than the sum of its proper divisors (87681).

131967 is a wasteful number, since it uses less digits than its factorization.

131967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 88 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 131967 is about 363.2726248976. The cubic root of 131967 is about 50.9121903068.

It can be divided in two parts, 13196 and 7, that added together give a triangular number (13203 = T162).

The spelling of 131967 in words is "one hundred thirty-one thousand, nine hundred sixty-seven".

Divisors: 1 3 9 11 31 33 43 93 99 129 279 341 387 473 1023 1333 1419 3069 3999 4257 11997 14663 43989 131967