82133694 has 96 divisors (see below), whose sum is σ = 198082560. Its totient is φ = 24494400.

The previous prime is 82133671. The next prime is 82133699. The reversal of 82133694 is 49633128.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (31104) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82133699) 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, 646659 + ... + 646785.

It is an arithmetic number, because the mean of its divisors is an integer number (2063360).

Almost surely, 2^82133694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82133694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99041280).

82133694 is an abundant number, since it is smaller than the sum of its proper divisors (115948866).

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

82133694 is a wasteful number, since it uses less digits than its factorization.

82133694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 82133694 is about 9062.7641478745. The cubic root of 82133694 is about 434.6841305802.

The spelling of 82133694 in words is "eighty-two million, one hundred thirty-three thousand, six hundred ninety-four".