83977552 has 40 divisors (see below), whose sum is σ = 174263400. Its totient is φ = 39063552.

The previous prime is 83977529. The next prime is 83977583. The reversal of 83977552 is 25577938.

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 83612736 = 604^2 + 9144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22474 + ... + 25942.

It is an arithmetic number, because the mean of its divisors is an integer number (4356585).

Almost surely, 2^83977552 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 83977552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87131700).

83977552 is an abundant number, since it is smaller than the sum of its proper divisors (90285848).

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

83977552 is a wasteful number, since it uses less digits than its factorization.

83977552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its digits is 529200, while the sum is 46.

The square root of 83977552 is about 9163.9266692832. The cubic root of 83977552 is about 437.9128980346.

The spelling of 83977552 in words is "eighty-three million, nine hundred seventy-seven thousand, five hundred fifty-two".