83034432 has 126 divisors (see below), whose sum is σ = 258021582. Its totient is φ = 25519104.

The previous prime is 83034431. The next prime is 83034433. The reversal of 83034432 is 23443038.

It is an interprime number because it is at equal distance from previous prime (83034431) and next prime (83034433).

It can be written as a sum of positive squares in 3 ways, for example, as 5875776 + 77158656 = 2424^2 + 8784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83034396 and 83034405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83034431) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96918 + ... + 97770.

Almost surely, 2^83034432 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 83034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129010791).

83034432 is an abundant number, since it is smaller than the sum of its proper divisors (174987150).

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

83034432 is a wasteful number, since it uses less digits than its factorization.

83034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 83034432 is about 9112.3230847024. The cubic root of 83034432 is about 436.2673780102.

The spelling of 83034432 in words is "eighty-three million, thirty-four thousand, four hundred thirty-two".