83562 has 16 divisors (see below), whose sum is σ = 176160. Its totient is φ = 26352.

The previous prime is 83561. The next prime is 83563. The reversal of 83562 is 26538.

It is an interprime number because it is at equal distance from previous prime (83561) and next prime (83563).

It is an Ulam number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (11010).

2⁸³⁵⁶² is an apocalyptic number.

83562 is an abundant number, since it is smaller than the sum of its proper divisors (92598).

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 (88080).

83562 is a wasteful number, since it uses less digits than its factorization.

83562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757.

The product of its digits is 1440, while the sum is 24.

The square root of 83562 is about 289.0709255529. The cubic root of 83562 is about 43.7189384965.

Subtracting from 83562 its sum of digits (24), we obtain a palindrome (83538).

It can be divided in two parts, 8 and 3562, that added together give a triangular number (3570 = T₈₄).

The spelling of 83562 in words is "eighty-three thousand, five hundred sixty-two".