1742 has 8 divisors (see below), whose sum is σ = 2856. Its totient is φ = 792.

The previous prime is 1741. The next prime is 1747. The reversal of 1742 is 2471.

It is a happy number.

1742 is nontrivially palindromic in base 5.

1742 is an esthetic number in base 5, base 9 and base 12, because in such bases its adjacent digits differ by 1.

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

It is a plaindrome in base 9, base 11 and base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1741) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8 + ... + 59.

It is an arithmetic number, because the mean of its divisors is an integer number (357).

1742 is a deficient number, since it is larger than the sum of its proper divisors (1114).

1742 is a wasteful number, since it uses less digits than its factorization.

1742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 56, while the sum is 14.

The square root of 1742 is about 41.7372735094. The cubic root of 1742 is about 12.0323202792.

Subtracting from 1742 its sum of digits (14), we obtain a cube (1728 = 12^{3}).

Subtracting 1742 from its reverse (2471), we obtain a 6-th power (729 = 3^{6}).

The spelling of 1742 in words is "one thousand, seven hundred forty-two", and thus it is an iban number.

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