34662 has 16 divisors (see below), whose sum is σ = 71280. Its totient is φ = 11232.

The previous prime is 34651. The next prime is 34667. The reversal of 34662 is 26643.

34662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34662.

It is not an unprimeable number, because it can be changed into a prime (34667) by changing a digit.

34662 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2³⁴⁶⁶² is an apocalyptic number.

34662 is an abundant number, since it is smaller than the sum of its proper divisors (36618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640).

34662 is a wasteful number, since it uses less digits than its factorization.

34662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167.

The product of its digits is 864, while the sum is 21.

The square root of 34662 is about 186.1773348182. The cubic root of 34662 is about 32.6050251327.

It can be divided in two parts, 34 and 662, that added together give a palindrome (696).

The spelling of 34662 in words is "thirty-four thousand, six hundred sixty-two".