93937 has 2 divisors, whose sum is σ = 93938. Its totient is φ = 93936.

The previous prime is 93923. The next prime is 93941. The reversal of 93937 is 73939.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 1521 = 304^2 + 39^2 .

It is an emirp because it is prime and its reverse (73939) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93937 - 2⁷ = 93809 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 93899 and 93908.

It is not a weakly prime, because it can be changed into another prime (93967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46968 + 46969.

It is an arithmetic number, because the mean of its divisors is an integer number (46969).

2⁹³⁹³⁷ is an apocalyptic number.

It is an amenable number.

93937 is a deficient number, since it is larger than the sum of its proper divisors (1).

93937 is an equidigital number, since it uses as much as digits as its factorization.

93937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 31.

The square root of 93937 is about 306.4914354431. The cubic root of 93937 is about 45.4581993426.

It can be divided in two parts, 939 and 37, that multiplied together give a palindrome (34743).

The spelling of 93937 in words is "ninety-three thousand, nine hundred thirty-seven".