83333952 has 168 divisors, whose sum is σ = 266273280. Its totient is φ = 24744960.

The previous prime is 83333941. The next prime is 83333959. The reversal of 83333952 is 25933338.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83333959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231949 + ... + 232307.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^83333952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

83333952 is an abundant number, since it is smaller than the sum of its proper divisors (182939328).

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

83333952 is a wasteful number, since it uses less digits than its factorization.

83333952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 83333952 is about 9128.7431774588. The cubic root of 83333952 is about 436.7913132757.

The spelling of 83333952 in words is "eighty-three million, three hundred thirty-three thousand, nine hundred fifty-two".