83306958 has 48 divisors (see below), whose sum is σ = 195022080. Its totient is φ = 23654064.

The previous prime is 83306947. The next prime is 83306959. The reversal of 83306958 is 85960338.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83306959) 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, 51835 + ... + 53417.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2^83306958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83306958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97511040).

83306958 is an abundant number, since it is smaller than the sum of its proper divisors (111715122).

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

83306958 is a wasteful number, since it uses less digits than its factorization.

83306958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 83306958 is about 9127.2645409235. The cubic root of 83306958 is about 436.7441455537.

The spelling of 83306958 in words is "eighty-three million, three hundred six thousand, nine hundred fifty-eight".