83741952 has 144 divisors (see below), whose sum is σ = 262220672. Its totient is φ = 23224320.

The previous prime is 83741951. The next prime is 83741971. The reversal of 83741952 is 25914738.

It is a self number, because there is not a number n which added to its sum of digits gives 83741952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83741951) 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 15 ways as a sum of consecutive naturals, for example, 198702 + ... + 199122.

Almost surely, 2^83741952 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 83741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131110336).

83741952 is an abundant number, since it is smaller than the sum of its proper divisors (178478720).

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

83741952 is a wasteful number, since it uses less digits than its factorization.

83741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 83741952 is about 9151.0628890856. The cubic root of 83741952 is about 437.5029912176.

The spelling of 83741952 in words is "eighty-three million, seven hundred forty-one thousand, nine hundred fifty-two".