35662 has 8 divisors (see below), whose sum is σ = 58392. Its totient is φ = 16200.

The previous prime is 35617. The next prime is 35671. The reversal of 35662 is 26653.

35662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 1621 = 35662 / (3 + 5 + 6 + 6 + 2).

It is a d-powerful number, because it can be written as 3⁹ + 5 + 6 + 6⁵ + 2¹³ .

It is a nialpdrome in base 15.

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, 789 + ... + 832.

It is an arithmetic number, because the mean of its divisors is an integer number (7299).

2³⁵⁶⁶² is an apocalyptic number.

35662 is a deficient number, since it is larger than the sum of its proper divisors (22730).

35662 is a wasteful number, since it uses less digits than its factorization.

35662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634.

The product of its digits is 1080, while the sum is 22.

The square root of 35662 is about 188.8438508398. The cubic root of 35662 is about 32.9156092879.

Subtracting from 35662 its reverse (26653), we obtain a palindrome (9009).

It can be divided in two parts, 3 and 5662, that added together give a palindrome (5665).

The spelling of 35662 in words is "thirty-five thousand, six hundred sixty-two".