20132082 has 48 divisors (see below), whose sum is σ = 45576960. Its totient is φ = 6415200.

The previous prime is 20132081. The next prime is 20132117. The reversal of 20132082 is 28023102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20132081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60657 + ... + 60987.

It is an arithmetic number, because the mean of its divisors is an integer number (949520).

Almost surely, 2^20132082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788480).

20132082 is an abundant number, since it is smaller than the sum of its proper divisors (25444878).

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

20132082 is a wasteful number, since it uses less digits than its factorization.

20132082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20132082 is about 4486.8788706628. The cubic root of 20132082 is about 272.0379938997.

Adding to 20132082 its reverse (28023102), we get a palindrome (48155184).

It can be divided in two parts, 2013 and 2082, that added together give a triangular number (4095 = T₉₀).

The spelling of 20132082 in words is "twenty million, one hundred thirty-two thousand, eighty-two".