93601 has 2 divisors, whose sum is σ = 93602. Its totient is φ = 93600.

The previous prime is 93581. The next prime is 93607. The reversal of 93601 is 10639.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 576 = 305^2 + 24^2 .

It is an emirp because it is prime and its reverse (10639) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93601 - 2⁹ = 93089 is a prime.

It is a super-2 number, since 2×93601² = 17522294402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (93607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46800 + 46801.

It is an arithmetic number, because the mean of its divisors is an integer number (46801).

2⁹³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

93601 is a deficient number, since it is larger than the sum of its proper divisors (1).

93601 is an equidigital number, since it uses as much as digits as its factorization.

93601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 93601 is about 305.9428051123. The cubic root of 93601 is about 45.4039353068.

Subtracting from 93601 its product of nonzero digits (162), we obtain a palindrome (93439).

The spelling of 93601 in words is "ninety-three thousand, six hundred one".