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38953 is a prime number
BaseRepresentation
bin1001100000101001
31222102201
421200221
52221303
6500201
7221365
oct114051
958381
1038953
11272a2
121a661
1314965
14102a5
15b81d
hex9829

38953 has 2 divisors, whose sum is σ = 38954. Its totient is φ = 38952.

The previous prime is 38933. The next prime is 38959. The reversal of 38953 is 35983.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38809 + 144 = 197^2 + 12^2 .

It is an emirp because it is prime and its reverse (35983) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38953 - 25 = 38921 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19476 + 19477.

It is an arithmetic number, because the mean of its divisors is an integer number (19477).

238953 is an apocalyptic number.

It is an amenable number.

38953 is a deficient number, since it is larger than the sum of its proper divisors (1).

38953 is an equidigital number, since it uses as much as digits as its factorization.

38953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3240, while the sum is 28.

The square root of 38953 is about 197.3651438324. The cubic root of 38953 is about 33.8984861389.

The spelling of 38953 in words is "thirty-eight thousand, nine hundred fifty-three".