82742 has 8 divisors (see below), whose sum is σ = 135432. Its totient is φ = 37600.

The previous prime is 82729. The next prime is 82757. The reversal of 82742 is 24728.

82742 = T_{38} + T_{39} + ... +
T_{81}.

82742 is nontrivially palindromic in base 14.

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

82742 is a nontrivial repdigit in base 14.

It is a plaindrome in base 14.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1859 + ... + 1902.

It is an arithmetic number, because the mean of its divisors is an integer number (16929).

2^{82742} is an apocalyptic number.

82742 is a deficient number, since it is larger than the sum of its proper divisors (52690).

82742 is a wasteful number, since it uses less digits than its factorization.

82742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774.

The product of its digits is 896, while the sum is 23.

The square root of 82742 is about 287.6490917768. The cubic root of 82742 is about 43.5754624437.

Adding to 82742 its product of digits (896), we get a palindrome (83638).

The spelling of 82742 in words is "eighty-two thousand, seven hundred forty-two".

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