20582352 has 90 divisors (see below), whose sum is σ = 67029378. Its totient is φ = 5878656.

The previous prime is 20582321. The next prime is 20582383. The reversal of 20582352 is 25328502.

It is an interprime number because it is at equal distance from previous prime (20582321) and next prime (20582383).

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 7056 = 4536^2 + 84^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5598 + ... + 8514.

Almost surely, 2^20582352 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 20582352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33514689).

20582352 is an abundant number, since it is smaller than the sum of its proper divisors (46447026).

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

20582352 is a wasteful number, since it uses less digits than its factorization.

20582352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20582352 is about 4536.7777111073. Note that the first 4 decimals coincide. The cubic root of 20582352 is about 274.0511741312.

The spelling of 20582352 in words is "twenty million, five hundred eighty-two thousand, three hundred fifty-two".