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56237 is a prime number
BaseRepresentation
bin1101101110101101
32212010212
431232231
53244422
61112205
7322646
oct155655
985125
1056237
1139285
1228665
131c79c
14166cd
15119e2
hexdbad

56237 has 2 divisors, whose sum is σ = 56238. Its totient is φ = 56236.

The previous prime is 56209. The next prime is 56239. The reversal of 56237 is 73265.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 7396 = 221^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 56237 - 210 = 55213 is a prime.

Together with 56239, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56239) 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, 28118 + 28119.

It is an arithmetic number, because the mean of its divisors is an integer number (28119).

256237 is an apocalyptic number.

It is an amenable number.

56237 is a deficient number, since it is larger than the sum of its proper divisors (1).

56237 is an equidigital number, since it uses as much as digits as its factorization.

56237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 23.

The square root of 56237 is about 237.1434165226. The cubic root of 56237 is about 38.3125196819.

The spelling of 56237 in words is "fifty-six thousand, two hundred thirty-seven".