82652130 has 128 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 18846720.

The previous prime is 82652123. The next prime is 82652137. The reversal of 82652130 is 3125628.

82652130 is a `hidden beast` number, since 8 + 2 + 652 + 1 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82652123) and next prime (82652137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82652094 and 82652103.

It is not an unprimeable number, because it can be changed into a prime (82652137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49672 + ... + 51308.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^82652130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82652130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

82652130 is an abundant number, since it is smaller than the sum of its proper divisors (172089630).

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

82652130 is a wasteful number, since it uses less digits than its factorization.

82652130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82652130 is about 9091.3216860916. The cubic root of 82652130 is about 435.5968027147.

Adding to 82652130 its reverse (3125628), we get a palindrome (85777758).

The spelling of 82652130 in words is "eighty-two million, six hundred fifty-two thousand, one hundred thirty".