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3675 = 35272
BaseRepresentation
bin111001011011
312001010
4321123
5104200
625003
713500
oct7133
95033
103675
112841
122163
131899
1414a7
151150
hexe5b

3675 has 18 divisors (see below), whose sum is σ = 7068. Its totient is φ = 1680.

The previous prime is 3673. The next prime is 3677. The reversal of 3675 is 5763.

It can be divided in two parts, 36 and 75, that added together give a palindrome (111).

3675 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (3673) and next prime (3677).

It is not a de Polignac number, because 3675 - 21 = 3673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (630) is a multiple of the sum of its prime divisors (15).

3675 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 522 + ... + 528.

23675 is an apocalyptic number.

3675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3675 is a deficient number, since it is larger than the sum of its proper divisors (3393).

3675 is a wasteful number, since it uses less digits than its factorization.

3675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 15 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 3675 is about 60.6217782649. The cubic root of 3675 is about 15.4318898408.

The spelling of 3675 in words is "three thousand, six hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 3675