82387032 has 192 divisors, whose sum is σ = 274065120. Its totient is φ = 20385792.

The previous prime is 82387003. The next prime is 82387073. The reversal of 82387032 is 23078328.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82386984 and 82387002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259738 + ... + 260054.

Almost surely, 2^82387032 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 82387032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137032560).

82387032 is an abundant number, since it is smaller than the sum of its proper divisors (191678088).

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

82387032 is a wasteful number, since it uses less digits than its factorization.

82387032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 82387032 is about 9076.7302482777. The cubic root of 82387032 is about 435.1305936344.

The spelling of 82387032 in words is "eighty-two million, three hundred eighty-seven thousand, thirty-two".