83417120 has 24 divisors (see below), whose sum is σ = 197073324. Its totient is φ = 33366784.

The previous prime is 83417101. The next prime is 83417123. The reversal of 83417120 is 2171438.

It can be written as a sum of positive squares in 2 ways, for example, as 83247376 + 169744 = 9124^2 + 412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83417120.

It is not an unprimeable number, because it can be changed into a prime (83417123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260519 + ... + 260838.

Almost surely, 2^83417120 is an apocalyptic number.

83417120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83417120 is an abundant number, since it is smaller than the sum of its proper divisors (113656204).

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

83417120 is a wasteful number, since it uses less digits than its factorization.

83417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521372 (or 521364 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 83417120 is about 9133.2973235300. The cubic root of 83417120 is about 436.9365721242.

Adding to 83417120 its reverse (2171438), we get a palindrome (85588558).

The spelling of 83417120 in words is "eighty-three million, four hundred seventeen thousand, one hundred twenty".