82161324 has 96 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 23310720.

The previous prime is 82161293. The next prime is 82161389. The reversal of 82161324 is 42316128.

82161324 is a `hidden beast` number, since 8 + 21 + 613 + 24 = 666.

It is a super-2 number, since 2×82161324² = 13500966322865952, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144112 + ... + 144680.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2^82161324 is an apocalyptic number.

82161324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82161324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

82161324 is an abundant number, since it is smaller than the sum of its proper divisors (162984276).

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

82161324 is a wasteful number, since it uses less digits than its factorization.

82161324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 82161324 is about 9064.2883890574. The cubic root of 82161324 is about 434.7328680935.

The spelling of 82161324 in words is "eighty-two million, one hundred sixty-one thousand, three hundred twenty-four".