Search a number
-
+
35149 is a prime number
BaseRepresentation
bin1000100101001101
31210012211
420211031
52111044
6430421
7204322
oct104515
953184
1035149
1124454
1218411
1312cca
14cb49
15a634
hex894d

35149 has 2 divisors, whose sum is σ = 35150. Its totient is φ = 35148.

The previous prime is 35141. The next prime is 35153. The reversal of 35149 is 94153.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 2025 = 182^2 + 45^2 .

It is an emirp because it is prime and its reverse (94153) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35149 - 23 = 35141 is a prime.

It is a Chen prime.

It is equal to p3748 and since 35149 and 3748 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35141) 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, 17574 + 17575.

It is an arithmetic number, because the mean of its divisors is an integer number (17575).

235149 is an apocalyptic number.

It is an amenable number.

35149 is a deficient number, since it is larger than the sum of its proper divisors (1).

35149 is an equidigital number, since it uses as much as digits as its factorization.

35149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 35149 is about 187.4806656698. The cubic root of 35149 is about 32.7570153765.

It can be divided in two parts, 3514 and 9, that multiplied together give a triangular number (31626 = T251).

The spelling of 35149 in words is "thirty-five thousand, one hundred forty-nine".