30590 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 9504.

The previous prime is 30577. The next prime is 30593. The reversal of 30590 is 9503.

30590 is nontrivially palindromic in base 13.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30593) by changing a digit.

30590 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 15 ways as a sum of consecutive naturals, for example, 1319 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2³⁰⁵⁹⁰ is an apocalyptic number.

30590 is an abundant number, since it is smaller than the sum of its proper divisors (38530).

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 (34560).

30590 is a wasteful number, since it uses less digits than its factorization.

30590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 30590 is about 174.8999714122. The cubic root of 30590 is about 31.2747004712.

The spelling of 30590 in words is "thirty thousand, five hundred ninety".