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131731967 is a prime number
BaseRepresentation
bin1111101101000…
…01000111111111
3100011212200021202
413312201013333
5232210410332
621023250115
73156463133
oct766410777
9304780252
10131731967
11683a51a4
123814993b
13213a3c13
14136d13c3
15b871a62
hex7da11ff

131731967 has 2 divisors, whose sum is σ = 131731968. Its totient is φ = 131731966.

The previous prime is 131731907. The next prime is 131731969. The reversal of 131731967 is 769137131.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131731967 - 26 = 131731903 is a prime.

It is a super-2 number, since 2×1317319672 = 34706622259378178, which contains 22 as substring.

Together with 131731969, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131731967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131731969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65865983 + 65865984.

It is an arithmetic number, because the mean of its divisors is an integer number (65865984).

Almost surely, 2131731967 is an apocalyptic number.

131731967 is a deficient number, since it is larger than the sum of its proper divisors (1).

131731967 is an equidigital number, since it uses as much as digits as its factorization.

131731967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23814, while the sum is 38.

The square root of 131731967 is about 11477.4547265498. The cubic root of 131731967 is about 508.8194750446.

The spelling of 131731967 in words is "one hundred thirty-one million, seven hundred thirty-one thousand, nine hundred sixty-seven".