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63427 = 7131741
BaseRepresentation
bin1111011111000011
310020000011
433133003
54012202
61205351
7352630
oct173703
9106004
1063427
1143721
1230857
1322b40
1419187
1513bd7
hexf7c3

63427 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 46080.

The previous prime is 63421. The next prime is 63439. The reversal of 63427 is 72436.

It is a cyclic number.

It is not a de Polignac number, because 63427 - 23 = 63419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63398 and 63407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63421) 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 in 15 ways as a sum of consecutive naturals, for example, 1527 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

263427 is an apocalyptic number.

63427 is a deficient number, since it is larger than the sum of its proper divisors (21245).

63427 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (63426) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (78).

63427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its digits is 1008, while the sum is 22.

The square root of 63427 is about 251.8471758825. The cubic root of 63427 is about 39.8802669576.

Subtracting 63427 from its reverse (72436), we obtain a palindrome (9009).

The spelling of 63427 in words is "sixty-three thousand, four hundred twenty-seven".

Divisors: 1 7 13 17 41 91 119 221 287 533 697 1547 3731 4879 9061 63427