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3505 = 5701
BaseRepresentation
bin110110110001
311210211
4312301
5103010
624121
713135
oct6661
94724
103505
1126a7
122041
131798
1413c5
15108a
hexdb1

3505 has 4 divisors (see below), whose sum is σ = 4212. Its totient is φ = 2800.

The previous prime is 3499. The next prime is 3511. The reversal of 3505 is 5053.

3505 = 142 + 152 + ... + 232.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5053 = 31163.

It is an interprime number because it is at equal distance from previous prime (3499) and next prime (3511).

It can be written as a sum of positive squares in 2 ways, for example, as 2209 + 1296 = 47^2 + 36^2 .

It is a de Polignac number, because none of the positive numbers 2k-3505 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 346 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (1053).

It is an amenable number.

3505 is a deficient number, since it is larger than the sum of its proper divisors (707).

3505 is an equidigital number, since it uses as much as digits as its factorization.

3505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706.

The product of its (nonzero) digits is 75, while the sum is 13.

The square root of 3505 is about 59.2030404625. The cubic root of 3505 is about 15.1901713930.

Adding to 3505 its reverse (5053), we get a palindrome (8558).

The spelling of 3505 in words is "three thousand, five hundred five".

Divisors: 1 5 701 3505