Search a number

32000 has 36 divisors (see below), whose sum is σ = 79716. Its totient is φ = 12800.

The previous prime is 31991. The next prime is 32003. The reversal of 32000 is 23.

Adding to 32000 its reverse (23), we get a palindrome (32023).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 30976 = 32^2 + 176^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 8 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32003) by changing a digit.

32000 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 3 ways as a sum of consecutive naturals, for example, 6398 + ... + 6402.

232000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39858).

32000 is an abundant number, since it is smaller than the sum of its proper divisors (47716).

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

32000 is an frugal number, since it uses more digits than its factorization.

32000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 32000 is about 178.8854382000. The cubic root of 32000 is about 31.7480210394.

The spelling of 32000 in words is "thirty-two thousand", and thus it is an eban number.