83846742 has 48 divisors (see below), whose sum is σ = 198789552. Its totient is φ = 23499840.

The previous prime is 83846713. The next prime is 83846759. The reversal of 83846742 is 24764838.

It is a super-2 number, since 2×83846742² = 14060552288029128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 83846694 and 83846703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12892 + ... + 18272.

It is an arithmetic number, because the mean of its divisors is an integer number (4141449).

Almost surely, 2^83846742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83846742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99394776).

83846742 is an abundant number, since it is smaller than the sum of its proper divisors (114942810).

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

83846742 is a wasteful number, since it uses less digits than its factorization.

83846742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5446 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 83846742 is about 9156.7866634535. The cubic root of 83846742 is about 437.6854040849.

The spelling of 83846742 in words is "eighty-three million, eight hundred forty-six thousand, seven hundred forty-two".