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3945 = 35263
BaseRepresentation
bin111101101001
312102010
4331221
5111240
630133
714334
oct7551
95363
103945
112a67
122349
131a46
14161b
151280
hexf69

3945 has 8 divisors (see below), whose sum is σ = 6336. Its totient is φ = 2096.

The previous prime is 3943. The next prime is 3947. The reversal of 3945 is 5493.

3945 = T25 + T26 + ... + T33.

It is an interprime number because it is at equal distance from previous prime (3943) and next prime (3947).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3945 - 21 = 3943 is a prime.

It is a d-powerful number, because it can be written as 37 + 45 + 93 + 5 .

It is a plaindrome in base 12.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3945.

It is not an unprimeable number, because it can be changed into a prime (3943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (792).

23945 is an apocalyptic number.

It is an amenable number.

3945 is a deficient number, since it is larger than the sum of its proper divisors (2391).

3945 is a wasteful number, since it uses less digits than its factorization.

3945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its digits is 540, while the sum is 21.

The square root of 3945 is about 62.8092349898. The cubic root of 3945 is about 15.8009186028.

The spelling of 3945 in words is "three thousand, nine hundred forty-five".

Divisors: 1 3 5 15 263 789 1315 3945