83540352 has 64 divisors (see below), whose sum is σ = 253612800. Its totient is φ = 23867904.

The previous prime is 83540351. The next prime is 83540417. The reversal of 83540352 is 25304538.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83540351) 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 7 ways as a sum of consecutive naturals, for example, 12852 + ... + 18227.

It is an arithmetic number, because the mean of its divisors is an integer number (3962700).

Almost surely, 2^83540352 is an apocalyptic number.

It is an amenable number.

83540352 is an abundant number, since it is smaller than the sum of its proper divisors (170072448).

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

83540352 is a wasteful number, since it uses less digits than its factorization.

83540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31103 (or 31091 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 83540352 is about 9140.0411377630. The cubic root of 83540352 is about 437.1516281965.

The spelling of 83540352 in words is "eighty-three million, five hundred forty thousand, three hundred fifty-two".