83541504 has 80 divisors (see below), whose sum is σ = 224749008. Its totient is φ = 27574272.

The previous prime is 83541487. The next prime is 83541539. The reversal of 83541504 is 40514538.

It is a congruent number.

It is an unprimeable number.

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, 210234 + ... + 210630.

Almost surely, 2^83541504 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 83541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112374504).

83541504 is an abundant number, since it is smaller than the sum of its proper divisors (141207504).

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

83541504 is a wasteful number, since it uses less digits than its factorization.

83541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 83541504 is about 9140.1041569558. The cubic root of 83541504 is about 437.1536375902.

The spelling of 83541504 in words is "eighty-three million, five hundred forty-one thousand, five hundred four".