83365152 has 96 divisors (see below), whose sum is σ = 239424192. Its totient is φ = 25242624.

The previous prime is 83365129. The next prime is 83365159. The reversal of 83365152 is 25156338.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (83365159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83118 + ... + 84114.

It is an arithmetic number, because the mean of its divisors is an integer number (2494002).

Almost surely, 2^83365152 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 83365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119712096).

83365152 is an abundant number, since it is smaller than the sum of its proper divisors (156059040).

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

83365152 is a wasteful number, since it uses less digits than its factorization.

83365152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 83365152 is about 9130.4519055740. The cubic root of 83365152 is about 436.8458176254.

The spelling of 83365152 in words is "eighty-three million, three hundred sixty-five thousand, one hundred fifty-two".