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38749 is a prime number

38749 has 2 divisors, whose sum is σ = 38750. Its totient is φ = 38748.

The previous prime is 38747. The next prime is 38767. The reversal of 38749 is 94783.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 5625 = 182^2 + 75^2 .

It is a cyclic number.

It is not a de Polignac number, because 38749 - 21 = 38747 is a prime.

Together with 38747, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

38749 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 38749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19374 + 19375.

It is an arithmetic number, because the mean of its divisors is an integer number (19375).

238749 is an apocalyptic number.

It is an amenable number.

38749 is a deficient number, since it is larger than the sum of its proper divisors (1).

38749 is an equidigital number, since it uses as much as digits as its factorization.

38749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 31.

The square root of 38749 is about 196.8476568314. The cubic root of 38749 is about 33.8392061656.

It can be divided in two parts, 3874 and 9, that added together give a palindrome (3883).

The spelling of 38749 in words is "thirty-eight thousand, seven hundred forty-nine".