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38677 is a prime number
BaseRepresentation
bin1001011100010101
31222001111
421130111
52214202
6455021
7220522
oct113425
958044
1038677
1127071
121a471
13147b2
1410149
15b6d7
hex9715

38677 has 2 divisors, whose sum is σ = 38678. Its totient is φ = 38676.

The previous prime is 38671. The next prime is 38693. The reversal of 38677 is 77683.

38677 is digitally balanced in base 2, 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., 22801 + 15876 = 151^2 + 126^2 .

It is a cyclic number.

It is not a de Polignac number, because 38677 - 23 = 38669 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19338 + 19339.

It is an arithmetic number, because the mean of its divisors is an integer number (19339).

238677 is an apocalyptic number.

It is an amenable number.

38677 is a deficient number, since it is larger than the sum of its proper divisors (1).

38677 is an equidigital number, since it uses as much as digits as its factorization.

38677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056, while the sum is 31.

The square root of 38677 is about 196.6646892556. The cubic root of 38677 is about 33.8182341538.

The spelling of 38677 in words is "thirty-eight thousand, six hundred seventy-seven".