82146384 has 30 divisors (see below), whose sum is σ = 229896186. Its totient is φ = 27382080.

The previous prime is 82146347. The next prime is 82146391. The reversal of 82146384 is 48364128.

82146384 is a `hidden beast` number, since 8 + 2 + 14 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76947984 + 5198400 = 8772^2 + 2280^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285087 + ... + 285374.

Almost surely, 2^82146384 is an apocalyptic number.

It is an amenable number.

82146384 is an abundant number, since it is smaller than the sum of its proper divisors (147749802).

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

82146384 is a wasteful number, since it uses less digits than its factorization.

82146384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570475 (or 570466 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82146384 is about 9063.4642383583. The cubic root of 82146384 is about 434.7065162674.

The spelling of 82146384 in words is "eighty-two million, one hundred forty-six thousand, three hundred eighty-four".