132653 has 4 divisors (see below), whose sum is σ = 133980. Its totient is φ = 131328.

The previous prime is 132647. The next prime is 132661. The reversal of 132653 is 356231.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 356231 = 19 ⋅18749.

It can be written as a sum of positive squares in 2 ways, for example, as 68644 + 64009 = 262^2 + 253^2 .

It is a cyclic number.

It is not a de Polignac number, because 132653 - 2⁴ = 132637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132623) 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 3 ways as a sum of consecutive naturals, for example, 500 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (33495).

132653 is a Friedman number, since it can be written as (6+15*3)^3+2, using all its digits and the basic arithmetic operations.

2¹³²⁶⁵³ is an apocalyptic number.

It is an amenable number.

132653 is a deficient number, since it is larger than the sum of its proper divisors (1327).

132653 is a wasteful number, since it uses less digits than its factorization.

132653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326.

The product of its digits is 540, while the sum is 20.

The square root of 132653 is about 364.2155954926. The cubic root of 132653 is about 51.0002563104. Note that the first 3 decimals are identical.

Adding to 132653 its reverse (356231), we get a palindrome (488884).

The spelling of 132653 in words is "one hundred thirty-two thousand, six hundred fifty-three".