• 1975 is equal to the number of ways to put 4 red, 4 blue, and 4 green balls into 4 indistinguishable boxes.

1975 has 6 divisors (see below), whose sum is σ = 2480. Its totient is φ = 1560.

The previous prime is 1973. The next prime is 1979. The reversal of 1975 is 5791.

Subtracting from 1975 its sum of digits (22), we obtain a triangular number (1953 = T_{62}).

It can be divided in two parts, 197 and 5, that added together give a palindrome (202).

1975 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 1975 - 2^{1} = 1973 is a prime.

1975 is an undulating number in base 16.

It is a plaindrome in base 8.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15 + ... + 64.

1975 is a deficient number, since it is larger than the sum of its proper divisors (505).

1975 is an equidigital number, since it uses as much as digits as its factorization.

1975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 84 counting only the distinct ones).

The product of its digits is 315, while the sum is 22.

The square root of 1975 is about 44.4409720866. The cubic root of 1975 is about 12.5464935205.

The spelling of 1975 in words is "one thousand, nine hundred seventy-five".

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