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BaseRepresentation
bin11110101101
32200210
4132231
530330
613033
75505
oct3655
92623
101965
111527
121179
13b82
14a05
158b0

1965 has 8 divisors (see below), whose sum is σ = 3168. Its totient is φ = 1040.

The previous prime is 1951. The next prime is 1973. The reversal of 1965 is 5691.

1965 is nontrivially palindromic in base 4.

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

It is not a de Polignac number, because 1965 - 24 = 1949 is a prime.

It is a super-2 number, since 2×19652 = 7722450, which contains 22 as substring.

It is a Curzon number.

1965 is a lucky number.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 80.

It is an arithmetic number, because the mean of its divisors is an integer number (396).

1965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1965 is a deficient number, since it is larger than the sum of its proper divisors (1203).

1965 is a wasteful number, since it uses less digits than its factorization.

1965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139.

The product of its digits is 270, while the sum is 21.

The square root of 1965 is about 44.3283205186. The cubic root of 1965 is about 12.5252821638.

The spelling of 1965 in words is "one thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 131 393 655 1965