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13197629 is a prime number
BaseRepresentation
bin110010010110…
…000100111101
3220211111202002
4302112010331
511334311004
61150512045
7220115024
oct62260475
926744662
1013197629
1174a4635
124505625
132971163
141a778bb
15125a61e
hexc9613d

13197629 has 2 divisors, whose sum is σ = 13197630. Its totient is φ = 13197628.

The previous prime is 13197619. The next prime is 13197631. The reversal of 13197629 is 92679131.

It is a happy number.

13197629 is digitally balanced in base 2, 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., 11546404 + 1651225 = 3398^2 + 1285^2 .

It is a cyclic number.

It is not a de Polignac number, because 13197629 - 212 = 13193533 is a prime.

It is a super-2 number, since 2×131976292 = 348354822443282, which contains 22 as substring.

Together with 13197631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13197592 and 13197601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13197619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6598814 + 6598815.

It is an arithmetic number, because the mean of its divisors is an integer number (6598815).

Almost surely, 213197629 is an apocalyptic number.

It is an amenable number.

13197629 is a deficient number, since it is larger than the sum of its proper divisors (1).

13197629 is an equidigital number, since it uses as much as digits as its factorization.

13197629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20412, while the sum is 38.

The square root of 13197629 is about 3632.8541121273. The cubic root of 13197629 is about 236.3189990972.

The spelling of 13197629 in words is "thirteen million, one hundred ninety-seven thousand, six hundred twenty-nine".