83668641 has 32 divisors (see below), whose sum is σ = 133705728. Its totient is φ = 45503040.

The previous prime is 83668579. The next prime is 83668643. The reversal of 83668641 is 14686638.

It is a happy number.

It is not a de Polignac number, because 83668641 - 2⁷ = 83668513 is a prime.

It is a super-3 number, since 3×83668641³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83668593 and 83668602.

It is not an unprimeable number, because it can be changed into a prime (83668643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149935 + ... + 150491.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^83668641 is an apocalyptic number.

It is an amenable number.

83668641 is a deficient number, since it is larger than the sum of its proper divisors (50037087).

83668641 is a wasteful number, since it uses less digits than its factorization.

83668641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901.

The product of its digits is 165888, while the sum is 42.

The square root of 83668641 is about 9147.0564117644. The cubic root of 83668641 is about 437.3752848326.

The spelling of 83668641 in words is "eighty-three million, six hundred sixty-eight thousand, six hundred forty-one".