83862 has 16 divisors (see below), whose sum is σ = 186480. Its totient is φ = 27936.

The previous prime is 83857. The next prime is 83869. The reversal of 83862 is 26838.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83869) by changing a digit.

83862 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2⁸³⁸⁶² is an apocalyptic number.

83862 is an abundant number, since it is smaller than the sum of its proper divisors (102618).

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 (93240).

83862 is a wasteful number, since it uses less digits than its factorization.

83862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83862 is about 289.5893644456. The cubic root of 83862 is about 43.7711951723.

It can be divided in two parts, 838 and 62, that added together give a square (900 = 30²).

The spelling of 83862 in words is "eighty-three thousand, eight hundred sixty-two".