1953 has 12 divisors (see below), whose sum is σ = 3328. Its totient is φ = 1080.

The previous prime is 1951. The next prime is 1973. The reversal of 1953 is 3591.

1953 is nontrivially palindromic in base 5.

1953 is a nontrivial binomial coefficient, being equal to C(63, 2).

It is not a de Polignac number, because 1953 - 2¹ = 1951 is a prime.

It is a D-number.

It is a Duffinian number.

1953 is an undulating number in base 5.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 78.

2¹⁹⁵³ is an apocalyptic number.

1953 is the 62-nd triangular number.

It is an amenable number.

1953 is a deficient number, since it is larger than the sum of its proper divisors (1375).

1953 is a wasteful number, since it uses less digits than its factorization.

1953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 41 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 1953 is about 44.1927595880. The cubic root of 1953 is about 12.4997333276.

It can be divided in two parts, 195 and 3, that multiplied together give a palindrome (585).

The spelling of 1953 in words is "one thousand, nine hundred fifty-three".