Search a number
-
+
93997 is a prime number
BaseRepresentation
bin10110111100101101
311202221101
4112330231
511001442
62003101
7541021
oct267455
9152841
1093997
1164692
1246491
1333a27
1426381
151ccb7
hex16f2d

93997 has 2 divisors, whose sum is σ = 93998. Its totient is φ = 93996.

The previous prime is 93983. The next prime is 94007. The reversal of 93997 is 79939.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 361 = 306^2 + 19^2 .

It is an emirp because it is prime and its reverse (79939) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93937) 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, 46998 + 46999.

It is an arithmetic number, because the mean of its divisors is an integer number (46999).

293997 is an apocalyptic number.

It is an amenable number.

93997 is a deficient number, since it is larger than the sum of its proper divisors (1).

93997 is an equidigital number, since it uses as much as digits as its factorization.

93997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15309, while the sum is 37.

The square root of 93997 is about 306.5893018355. The cubic root of 93997 is about 45.4678757267.

The spelling of 93997 in words is "ninety-three thousand, nine hundred ninety-seven".