1653 has 8 divisors (see below), whose sum is σ = 2400. Its totient is φ = 1008.

The previous prime is 1637. The next prime is 1657. The reversal of 1653 is 3561.

1653 is a nontrivial binomial coefficient, being equal to C(58, 2).

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

It is not a de Polignac number, because 1653 - 2⁴ = 1637 is a prime.

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1653.

It is not an unprimeable number, because it can be changed into a prime (1657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 71.

It is an arithmetic number, because the mean of its divisors is an integer number (300).

2¹⁶⁵³ is an apocalyptic number.

1653 is the 57-th triangular number and also the 29-th hexagonal number.

It is an amenable number.

1653 is a deficient number, since it is larger than the sum of its proper divisors (747).

1653 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 1653 = (3165)₈.

1653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51.

The product of its digits is 90, while the sum is 15.

The square root of 1653 is about 40.6571027005. The cubic root of 1653 is about 11.8238147793.

It can be divided in two parts, 16 and 53, that multiplied together give a palindrome (848).

The spelling of 1653 in words is "one thousand, six hundred fifty-three".