83201337 has 20 divisors (see below), whose sum is σ = 126151696. Its totient is φ = 54636120.

The previous prime is 83201329. The next prime is 83201351. The reversal of 83201337 is 73310238.

83201337 is a `hidden beast` number, since 8 + 320 + 1 + 337 = 666.

It is not a de Polignac number, because 83201337 - 2³ = 83201329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83201337.

It is not an unprimeable number, because it can be changed into a prime (83201317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2239 + ... + 13092.

Almost surely, 2^83201337 is an apocalyptic number.

It is an amenable number.

83201337 is a deficient number, since it is larger than the sum of its proper divisors (42950359).

83201337 is a wasteful number, since it uses less digits than its factorization.

83201337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 83201337 is about 9121.4766896594. The cubic root of 83201337 is about 436.5594916611.

It can be divided in two parts, 83201 and 337, that added together give a palindrome (83538).

The spelling of 83201337 in words is "eighty-three million, two hundred one thousand, three hundred thirty-seven".