82913670 has 96 divisors (see below), whose sum is σ = 253101888. Its totient is φ = 18434304.

The previous prime is 82913669. The next prime is 82913671. The reversal of 82913670 is 7631928.

82913670 is a `hidden beast` number, since 8 + 291 + 367 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82913669) and next prime (82913671).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82913671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21532 + ... + 25088.

It is an arithmetic number, because the mean of its divisors is an integer number (2636478).

Almost surely, 2^82913670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82913670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126550944).

82913670 is an abundant number, since it is smaller than the sum of its proper divisors (170188218).

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

82913670 is a wasteful number, since it uses less digits than its factorization.

82913670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82913670 is about 9105.6943722047. The cubic root of 82913670 is about 436.0557787123.

The spelling of 82913670 in words is "eighty-two million, nine hundred thirteen thousand, six hundred seventy".