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5142 = 23857

5142 has 8 divisors (see below), whose sum is σ = 10296. Its totient is φ = 1712.

The previous prime is 5119. The next prime is 5147. The reversal of 5142 is 2415.

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

5142 is an admirable number.

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5147) by changing a digit.

5142 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (1287).

25142 is an apocalyptic number.

5142 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148).

5142 is a wasteful number, since it uses less digits than its factorization.

5142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its digits is 40, while the sum is 12.

The square root of 5142 is about 71.7077401680. The cubic root of 5142 is about 17.2601284774.

Adding to 5142 its reverse (2415), we get a palindrome (7557).

The spelling of 5142 in words is "five thousand, one hundred forty-two".

Divisors: 1 2 3 6 857 1714 2571 5142