30500 has 24 divisors (see below), whose sum is σ = 67704. Its totient is φ = 12000.

The previous prime is 30497. The next prime is 30509. The reversal of 30500 is 503.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 23104 = 86^2 + 152^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (30509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2³⁰⁵⁰⁰ 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 30500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852).

30500 is an abundant number, since it is smaller than the sum of its proper divisors (37204).

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

30500 is a wasteful number, since it uses less digits than its factorization.

30500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 30500 is about 174.6424919657. The cubic root of 30500 is about 31.2439988476.

The spelling of 30500 in words is "thirty thousand, five hundred".