82007382 has 32 divisors (see below), whose sum is σ = 173462400. Its totient is φ = 25774848.

The previous prime is 82007381. The next prime is 82007383. The reversal of 82007382 is 28370028.

It is an interprime number because it is at equal distance from previous prime (82007381) and next prime (82007383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82007381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24294 + ... + 27462.

It is an arithmetic number, because the mean of its divisors is an integer number (5420700).

Almost surely, 2^82007382 is an apocalyptic number.

82007382 is an abundant number, since it is smaller than the sum of its proper divisors (91455018).

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

82007382 is a wasteful number, since it uses less digits than its factorization.

82007382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 82007382 is about 9055.7927317270. The cubic root of 82007382 is about 434.4611851622.

The spelling of 82007382 in words is "eighty-two million, seven thousand, three hundred eighty-two".