83749952 has 56 divisors (see below), whose sum is σ = 195267072. Its totient is φ = 35136000.

The previous prime is 83749949. The next prime is 83749957. The reversal of 83749952 is 25994738.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83749897 and 83749906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83749957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4577 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (3486912).

Almost surely, 2^83749952 is an apocalyptic number.

It is a pronic number, being equal to 9151×9152.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97633536).

83749952 is an abundant number, since it is smaller than the sum of its proper divisors (111517120).

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

83749952 is a wasteful number, since it uses less digits than its factorization.

83749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9177 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 83749952 is about 9151.4999863410. The cubic root of 83749952 is about 437.5169225563.

The spelling of 83749952 in words is "eighty-three million, seven hundred forty-nine thousand, nine hundred fifty-two".