42253 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 38640.

The previous prime is 42239. The next prime is 42257. The reversal of 42253 is 35224.

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

It is a cyclic number.

It is not a de Polignac number, because 42253 - 2⁵ = 42221 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42257) 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, 876 + ... + 922.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁴²²⁵³ is an apocalyptic number.

It is an amenable number.

42253 is a deficient number, since it is larger than the sum of its proper divisors (3827).

42253 is a wasteful number, since it uses less digits than its factorization.

42253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

The product of its digits is 240, while the sum is 16.

The square root of 42253 is about 205.5553453452. Note that the first 3 decimals coincide. The cubic root of 42253 is about 34.8299231773.

Adding to 42253 its reverse (35224), we get a palindrome (77477).

It can be divided in two parts, 422 and 53, that multiplied together give a triangular number (22366 = T₂₁₁).

The spelling of 42253 in words is "forty-two thousand, two hundred fifty-three".