• 53842² = 2898960964 is an anagram of the next square 53843² = 2899068649.

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53842 has 4 divisors (see below), whose sum is σ = 80766. Its totient is φ = 26920.

The previous prime is 53831. The next prime is 53849. The reversal of 53842 is 24835.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 24835 = 5 ⋅4967.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 25281 = 169^2 + 159^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (53849) by changing a digit.

53842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 13459 + ... + 13462.

2⁵³⁸⁴² is an apocalyptic number.

53842 is a deficient number, since it is larger than the sum of its proper divisors (26924).

53842 is a wasteful number, since it uses less digits than its factorization.

53842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26923.

The product of its digits is 960, while the sum is 22.

The square root of 53842 is about 232.0387898607. The cubic root of 53842 is about 37.7607311275.

The spelling of 53842 in words is "fifty-three thousand, eight hundred forty-two".