Search a number
-
+
3965985 = 325312843
BaseRepresentation
bin1111001000010000100001
321110111022100
433020100201
52003402420
6221001013
745465432
oct17102041
97414270
103965985
112269781
1213b3169
13a8b24a
14753489
15535190
hex3c8421

3965985 has 24 divisors (see below), whose sum is σ = 7098624. Its totient is φ = 2046240.

The previous prime is 3965963. The next prime is 3966007. The reversal of 3965985 is 5895693.

It is an interprime number because it is at equal distance from previous prime (3965963) and next prime (3966007).

It is not a de Polignac number, because 3965985 - 217 = 3834913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

3965985 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3965985.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27 + ... + 2816.

It is an arithmetic number, because the mean of its divisors is an integer number (295776).

Almost surely, 23965985 is an apocalyptic number.

It is an amenable number.

3965985 is a deficient number, since it is larger than the sum of its proper divisors (3132639).

3965985 is a wasteful number, since it uses less digits than its factorization.

3965985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2882 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 3965985 is about 1991.4780942807. The cubic root of 3965985 is about 158.2888616253.

It can be divided in two parts, 3965 and 985, that added together give a triangular number (4950 = T99).

The spelling of 3965985 in words is "three million, nine hundred sixty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 2843 8529 14215 25587 42645 88133 127935 264399 440665 793197 1321995 3965985