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13731967 is a prime number
BaseRepresentation
bin110100011000…
…100001111111
3221211122201101
4310120201333
512003410332
61210153531
7224501614
oct64304177
927748641
1013731967
11782a037
1247228a7
132aca432
141b7650b
151313ae7
hexd1887f

13731967 has 2 divisors, whose sum is σ = 13731968. Its totient is φ = 13731966.

The previous prime is 13731961. The next prime is 13731973. The reversal of 13731967 is 76913731.

It is a balanced prime because it is at equal distance from previous prime (13731961) and next prime (13731973).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13731967 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13731961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6865983 + 6865984.

It is an arithmetic number, because the mean of its divisors is an integer number (6865984).

Almost surely, 213731967 is an apocalyptic number.

13731967 is a deficient number, since it is larger than the sum of its proper divisors (1).

13731967 is an equidigital number, since it uses as much as digits as its factorization.

13731967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23814, while the sum is 37.

The square root of 13731967 is about 3705.6668765554. Note that the first 3 decimals coincide. The cubic root of 13731967 is about 239.4662153084.

The spelling of 13731967 in words is "thirteen million, seven hundred thirty-one thousand, nine hundred sixty-seven".