83132742 has 64 divisors (see below), whose sum is σ = 209424384. Its totient is φ = 21371040.

The previous prime is 83132723. The next prime is 83132743. The reversal of 83132742 is 24723138.

It is a super-2 number, since 2×83132742² = 13822105584877128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83132743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46713 + ... + 48459.

It is an arithmetic number, because the mean of its divisors is an integer number (3272256).

Almost surely, 2^83132742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83132742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104712192).

83132742 is an abundant number, since it is smaller than the sum of its proper divisors (126291642).

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

83132742 is a wasteful number, since it uses less digits than its factorization.

83132742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873.

The product of its digits is 8064, while the sum is 30.

The square root of 83132742 is about 9117.7158323782. The cubic root of 83132742 is about 436.4394854499.

The spelling of 83132742 in words is "eighty-three million, one hundred thirty-two thousand, seven hundred forty-two".