83217372 has 96 divisors (see below), whose sum is σ = 231135744. Its totient is φ = 22809600.

The previous prime is 83217347. The next prime is 83217373. The reversal of 83217372 is 27371238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83217373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251247 + ... + 251577.

It is an arithmetic number, because the mean of its divisors is an integer number (2407664).

Almost surely, 2^83217372 is an apocalyptic number.

83217372 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83217372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115567872).

83217372 is an abundant number, since it is smaller than the sum of its proper divisors (147918372).

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

83217372 is a wasteful number, since it uses less digits than its factorization.

83217372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 83217372 is about 9122.3556168349. The cubic root of 83217372 is about 436.5875352080.

The spelling of 83217372 in words is "eighty-three million, two hundred seventeen thousand, three hundred seventy-two".