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38501 is a prime number
BaseRepresentation
bin1001011001100101
31221210222
421121211
52213001
6454125
7220151
oct113145
957728
1038501
1126a21
121a345
13146a8
1410061
15b61b
hex9665

38501 has 2 divisors, whose sum is σ = 38502. Its totient is φ = 38500.

The previous prime is 38461. The next prime is 38543. The reversal of 38501 is 10583.

38501 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., 36100 + 2401 = 190^2 + 49^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38501 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

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

It is a lonely number, since its distance to closest prime (38461) sets a new record.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 38501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19250 + 19251.

It is an arithmetic number, because the mean of its divisors is an integer number (19251).

238501 is an apocalyptic number.

It is an amenable number.

38501 is a deficient number, since it is larger than the sum of its proper divisors (1).

38501 is an equidigital number, since it uses as much as digits as its factorization.

38501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 38501 is about 196.2167169229. The cubic root of 38501 is about 33.7668594322.

The spelling of 38501 in words is "thirty-eight thousand, five hundred one".