82949634 has 48 divisors (see below), whose sum is σ = 187799040. Its totient is φ = 26434080.

The previous prime is 82949621. The next prime is 82949639. The reversal of 82949634 is 43694928.

82949634 is a `hidden beast` number, since 8 + 2 + 9 + 4 + 9 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82949634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82949639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38239 + ... + 40349.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 2^82949634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82949634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93899520).

82949634 is an abundant number, since it is smaller than the sum of its proper divisors (104849406).

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

82949634 is a wasteful number, since it uses less digits than its factorization.

82949634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2212 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 82949634 is about 9107.6689663162. The cubic root of 82949634 is about 436.1188163399.

The spelling of 82949634 in words is "eighty-two million, nine hundred forty-nine thousand, six hundred thirty-four".