Search a number
-
+
187393 is a prime number
BaseRepresentation
bin101101110000000001
3100112001111
4231300001
521444033
64003321
71410223
oct556001
9315044
10187393
11118878
1290541
13673ab
144c413
153a7cd
hex2dc01

187393 has 2 divisors, whose sum is σ = 187394. Its totient is φ = 187392.

The previous prime is 187387. The next prime is 187409. The reversal of 187393 is 393781.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178929 + 8464 = 423^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 187393 - 25 = 187361 is a prime.

It is a super-2 number, since 2×1873932 = 70232272898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (187303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93696 + 93697.

It is an arithmetic number, because the mean of its divisors is an integer number (93697).

It is a Proth number, since it is equal to 183 ⋅ 210 + 1 and 183 < 210.

2187393 is an apocalyptic number.

It is an amenable number.

187393 is a deficient number, since it is larger than the sum of its proper divisors (1).

187393 is an equidigital number, since it uses as much as digits as its factorization.

187393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 31.

The square root of 187393 is about 432.8891313027. The cubic root of 187393 is about 57.2248225516.

The spelling of 187393 in words is "one hundred eighty-seven thousand, three hundred ninety-three".