83207331 has 28 divisors (see below), whose sum is σ = 125721232. Its totient is φ = 55042416.

The previous prime is 83207323. The next prime is 83207357. The reversal of 83207331 is 13370238.

83207331 is a `hidden beast` number, since 8 + 320 + 7 + 331 = 666.

It is not a de Polignac number, because 83207331 - 2³ = 83207323 is a prime.

It is a super-2 number, since 2×83207331² = 13846919864287122, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83207295 and 83207304.

It is not an unprimeable number, because it can be changed into a prime (83207381) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 114090 + ... + 114816.

It is an arithmetic number, because the mean of its divisors is an integer number (4490044).

Almost surely, 2^83207331 is an apocalyptic number.

83207331 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

83207331 is a deficient number, since it is larger than the sum of its proper divisors (42513901).

83207331 is an equidigital number, since it uses as much as digits as its factorization.

83207331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

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

The square root of 83207331 is about 9121.8052489625. The cubic root of 83207331 is about 436.5699749652.

Adding to 83207331 its reverse (13370238), we get a palindrome (96577569).

It can be divided in two parts, 83207 and 331, that added together give a palindrome (83538).

The spelling of 83207331 in words is "eighty-three million, two hundred seven thousand, three hundred thirty-one".