253742 has 12 divisors (see below), whose sum is σ = 405240. Its totient is φ = 119136.

The previous prime is 253741. The next prime is 253751. The reversal of 253742 is 247352.

253742 is nontrivially palindromic in base 14.

253742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

253742 is an undulating number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 359 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (33770).

2²⁵³⁷⁴² is an apocalyptic number.

253742 is a deficient number, since it is larger than the sum of its proper divisors (151498).

253742 is a wasteful number, since it uses less digits than its factorization.

253742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 253742 is about 503.7281012610. The cubic root of 253742 is about 63.3088055221.

The spelling of 253742 in words is "two hundred fifty-three thousand, seven hundred forty-two".