83601 has 12 divisors (see below), whose sum is σ = 138112. Its totient is φ = 47736.

The previous prime is 83597. The next prime is 83609. The reversal of 83601 is 10638.

It is not a de Polignac number, because 83601 - 2² = 83597 is a prime.

It is an Ulam number.

It is a Duffinian number.

83601 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601 + ... + 726.

2⁸³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

83601 is a deficient number, since it is larger than the sum of its proper divisors (54511).

83601 is a wasteful number, since it uses less digits than its factorization.

83601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 83601 is about 289.1383751770. The cubic root of 83601 is about 43.7257389297.

The spelling of 83601 in words is "eighty-three thousand, six hundred one".