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13536973 is a prime number
BaseRepresentation
bin110011101000…
…111011001101
3221110202020101
4303220323031
511431140343
61202051101
7223030252
oct63507315
927422211
1013536973
11770658a
124649a91
132a5c758
141b25429
1512c5e4d
hexce8ecd

13536973 has 2 divisors, whose sum is σ = 13536974. Its totient is φ = 13536972.

The previous prime is 13536967. The next prime is 13536977. The reversal of 13536973 is 37963531.

It is a happy number.

13536973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7767369 + 5769604 = 2787^2 + 2402^2 .

It is an emirp because it is prime and its reverse (37963531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13536973 - 221 = 11439821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13536977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6768486 + 6768487.

It is an arithmetic number, because the mean of its divisors is an integer number (6768487).

Almost surely, 213536973 is an apocalyptic number.

It is an amenable number.

13536973 is a deficient number, since it is larger than the sum of its proper divisors (1).

13536973 is an equidigital number, since it uses as much as digits as its factorization.

13536973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51030, while the sum is 37.

The square root of 13536973 is about 3679.2625619817. The cubic root of 13536973 is about 238.3273336496.

The spelling of 13536973 in words is "thirteen million, five hundred thirty-six thousand, nine hundred seventy-three".