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15901 is a prime number
BaseRepresentation
bin11111000011101
3210210221
43320131
51002101
6201341
764234
oct37035
923727
1015901
1110a46
129251
137312
145b1b
154aa1
hex3e1d

15901 has 2 divisors, whose sum is σ = 15902. Its totient is φ = 15900.

The previous prime is 15889. The next prime is 15907. The reversal of 15901 is 10951.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 25 = 126^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 15901 - 27 = 15773 is a prime.

15901 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7950 + 7951.

It is an arithmetic number, because the mean of its divisors is an integer number (7951).

215901 is an apocalyptic number.

It is an amenable number.

15901 is a deficient number, since it is larger than the sum of its proper divisors (1).

15901 is an equidigital number, since it uses as much as digits as its factorization.

15901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 15901 is about 126.0991673248. The cubic root of 15901 is about 25.1463416929.

Subtracting from 15901 its reverse (10951), we obtain a triangular number (4950 = T99).

The spelling of 15901 in words is "fifteen thousand, nine hundred one".