20958084 has 81 divisors (see below), whose sum is σ = 62197317. Its totient is φ = 5933088.

The previous prime is 20958079. The next prime is 20958089. The reversal of 20958084 is 48085902.

The square root of 20958084 is 4578.

It is a perfect power (a square), and thus also a powerful number.

20958084 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (20958079) and next prime (20958089).

It can be written as a sum of positive squares in only one way, i.e., 14607684 + 6350400 = 3822^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20958089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192222 + ... + 192330.

Almost surely, 2^20958084 is an apocalyptic number.

20958084 is the 4578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20958084

20958084 is an abundant number, since it is smaller than the sum of its proper divisors (41239233).

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

20958084 is a wasteful number, since it uses less digits than its factorization.

20958084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 20958084 is about 275.7087349518.

Multiplying 20958084 by its sum of digits (36), we get a square (754491024 = 27468²).

20958084 divided by its sum of digits (36) gives a square (582169 = 763²).

The spelling of 20958084 in words is "twenty million, nine hundred fifty-eight thousand, eighty-four".