83142 has 24 divisors (see below), whose sum is σ = 187200. Its totient is φ = 26640.

The previous prime is 83137. The next prime is 83177. The reversal of 83142 is 24138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

83142 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 in 11 ways as a sum of consecutive naturals, for example, 484 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2⁸³¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

83142 is an abundant number, since it is smaller than the sum of its proper divisors (104058).

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

83142 is a wasteful number, since it uses less digits than its factorization.

83142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 83142 is about 288.3435450986. The cubic root of 83142 is about 43.6455686073.

It can be divided in two parts, 83 and 142, that added together give a square (225 = 15²).

The spelling of 83142 in words is "eighty-three thousand, one hundred forty-two".