83435352 has 256 divisors, whose sum is σ = 294174720. Its totient is φ = 19008000.

The previous prime is 83435347. The next prime is 83435357. The reversal of 83435352 is 25353438.

It is an interprime number because it is at equal distance from previous prime (83435347) and next prime (83435357).

It is a super-2 number, since 2×83435352² = 13922915926727808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83435357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552477 + ... + 552627.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^83435352 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 83435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

83435352 is an abundant number, since it is smaller than the sum of its proper divisors (210739368).

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

83435352 is a wasteful number, since it uses less digits than its factorization.

83435352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 83435352 is about 9134.2953751234. The cubic root of 83435352 is about 436.9684027096.

It can be divided in two parts, 8343 and 5352, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 83435352 in words is "eighty-three million, four hundred thirty-five thousand, three hundred fifty-two".