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3761 is a prime number
BaseRepresentation
bin111010110001
312011022
4322301
5110021
625225
713652
oct7261
95138
103761
11290a
122215
131934
141529
1511ab
hexeb1

3761 has 2 divisors, whose sum is σ = 3762. Its totient is φ = 3760.

The previous prime is 3739. The next prime is 3767. The reversal of 3761 is 1673.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 625 = 56^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 3761 - 26 = 3697 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3761.

It is not a weakly prime, because it can be changed into another prime (3767) 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, 1880 + 1881.

It is an arithmetic number, because the mean of its divisors is an integer number (1881).

23761 is an apocalyptic number.

It is an amenable number.

3761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3761 is an equidigital number, since it uses as much as digits as its factorization.

3761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 17.

The square root of 3761 is about 61.3269924258. The cubic root of 3761 is about 15.5513386151.

The spelling of 3761 in words is "three thousand, seven hundred sixty-one".