83642 has 8 divisors (see below), whose sum is σ = 135156. Its totient is φ = 38592.

The previous prime is 83641. The next prime is 83653. The reversal of 83642 is 24638.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83521 + 121 = 289^2 + 11^2 .

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

It is not an unprimeable number, because it can be changed into a prime (83641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583 + ... + 1634.

2⁸³⁶⁴² is an apocalyptic number.

83642 is a deficient number, since it is larger than the sum of its proper divisors (51514).

83642 is a wasteful number, since it uses less digits than its factorization.

83642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232.

The product of its digits is 1152, while the sum is 23.

The square root of 83642 is about 289.2092667948. The cubic root of 83642 is about 43.7328858231.

It can be divided in two parts, 836 and 42, that added together give a palindrome (878).

The spelling of 83642 in words is "eighty-three thousand, six hundred forty-two".