82162692 has 72 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 26587200.

The previous prime is 82162687. The next prime is 82162697. The reversal of 82162692 is 29626128.

It is a happy number.

82162692 is a `hidden beast` number, since 8 + 21 + 626 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (82162687) and next prime (82162697).

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 (82162697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214333 + ... + 214715.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2^82162692 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 82162692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

82162692 is an abundant number, since it is smaller than the sum of its proper divisors (131694588).

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

82162692 is a wasteful number, since it uses less digits than its factorization.

82162692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 82162692 is about 9064.3638497139. The cubic root of 82162692 is about 434.7352808721.

The spelling of 82162692 in words is "eighty-two million, one hundred sixty-two thousand, six hundred ninety-two".