17642 has 4 divisors (see below), whose sum is σ = 26466. Its totient is φ = 8820.

The previous prime is 17627. The next prime is 17657. The reversal of 17642 is 24671.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (17627) and next prime (17657).

It can be written as a sum of positive squares in only one way, i.e., 14161 + 3481 = 119^2 + 59^2 .

It is a super-2 number, since 2×17642² = 622480328, which contains 22 as substring.

It is a plaindrome in base 11.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 4409 + ... + 4412.

2¹⁷⁶⁴² is an apocalyptic number.

17642 is a deficient number, since it is larger than the sum of its proper divisors (8824).

17642 is an equidigital number, since it uses as much as digits as its factorization.

17642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823.

The product of its digits is 336, while the sum is 20.

The square root of 17642 is about 132.8231907462. The cubic root of 17642 is about 26.0325037274.

The spelling of 17642 in words is "seventeen thousand, six hundred forty-two".