82165460 has 48 divisors (see below), whose sum is σ = 188479872. Its totient is φ = 29904000.

The previous prime is 82165379. The next prime is 82165463. The reversal of 82165460 is 6456128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82165463) 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, 16235 + ... + 20685.

It is an arithmetic number, because the mean of its divisors is an integer number (3926664).

Almost surely, 2^82165460 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 82165460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94239936).

82165460 is an abundant number, since it is smaller than the sum of its proper divisors (106314412).

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

82165460 is a wasteful number, since it uses less digits than its factorization.

82165460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 82165460 is about 9064.5165342670. The cubic root of 82165460 is about 434.7401627868.

The spelling of 82165460 in words is "eighty-two million, one hundred sixty-five thousand, four hundred sixty".