83165472 has 144 divisors (see below), whose sum is σ = 258443640. Its totient is φ = 25214976.

The previous prime is 83165471. The next prime is 83165473. The reversal of 83165472 is 27456138.

It is an interprime number because it is at equal distance from previous prime (83165471) and next prime (83165473).

It can be written as a sum of positive squares in 4 ways, for example, as 73205136 + 9960336 = 8556^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83165471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363054 + ... + 363282.

Almost surely, 2^83165472 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 83165472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129221820).

83165472 is an abundant number, since it is smaller than the sum of its proper divisors (175278168).

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

83165472 is a wasteful number, since it uses less digits than its factorization.

83165472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 83165472 is about 9119.5105131800. The cubic root of 83165472 is about 436.4967544623.

The spelling of 83165472 in words is "eighty-three million, one hundred sixty-five thousand, four hundred seventy-two".