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13961953 is a prime number
BaseRepresentation
bin110101010000…
…101011100001
3222021100012101
4311100223201
512033240303
61215130401
7226450255
oct65205341
928240171
1013961953
117976905
124813a01
132b7b015
141bd6265
15135bd1d
hexd50ae1

13961953 has 2 divisors, whose sum is σ = 13961954. Its totient is φ = 13961952.

The previous prime is 13961951. The next prime is 13961977. The reversal of 13961953 is 35916931.

13961953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10975969 + 2985984 = 3313^2 + 1728^2 .

It is an emirp because it is prime and its reverse (35916931) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13961953 - 21 = 13961951 is a prime.

It is a super-2 number, since 2×139619532 = 389872263148418, which contains 22 as substring.

Together with 13961951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13961951) 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 as a sum of consecutive naturals, namely, 6980976 + 6980977.

It is an arithmetic number, because the mean of its divisors is an integer number (6980977).

Almost surely, 213961953 is an apocalyptic number.

It is an amenable number.

13961953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13961953 is an equidigital number, since it uses as much as digits as its factorization.

13961953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21870, while the sum is 37.

The square root of 13961953 is about 3736.5696835467. The cubic root of 13961953 is about 240.7956981402.

The spelling of 13961953 in words is "thirteen million, nine hundred sixty-one thousand, nine hundred fifty-three".