83361201 has 48 divisors (see below), whose sum is σ = 145686528. Its totient is φ = 41882400.

The previous prime is 83361181. The next prime is 83361203. The reversal of 83361201 is 10216338.

It is not a de Polignac number, because 83361201 - 2⁵ = 83361169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83361203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49296 + ... + 50958.

It is an arithmetic number, because the mean of its divisors is an integer number (3035136).

Almost surely, 2^83361201 is an apocalyptic number.

It is an amenable number.

83361201 is a deficient number, since it is larger than the sum of its proper divisors (62325327).

83361201 is a wasteful number, since it uses less digits than its factorization.

83361201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83361201 is about 9130.2355391304. The cubic root of 83361201 is about 436.8389162401.

Adding to 83361201 its reverse (10216338), we get a palindrome (93577539).

The spelling of 83361201 in words is "eighty-three million, three hundred sixty-one thousand, two hundred one".