82634742 has 40 divisors (see below), whose sum is σ = 189120096. Its totient is φ = 26956368.

The previous prime is 82634731. The next prime is 82634749. The reversal of 82634742 is 24743628.

It is a junction number, because it is equal to n+sod(n) for n = 82634697 and 82634706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82634749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2188 + ... + 13040.

Almost surely, 2^82634742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82634742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94560048).

82634742 is an abundant number, since it is smaller than the sum of its proper divisors (106485354).

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

82634742 is a wasteful number, since it uses less digits than its factorization.

82634742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10905 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 82634742 is about 9090.3653391929. The cubic root of 82634742 is about 435.5662542444.

The spelling of 82634742 in words is "eighty-two million, six hundred thirty-four thousand, seven hundred forty-two".