Search a number
93097 is a prime number
BaseRepresentation
bin10110101110101001
311201201001
4112232221
510434342
61555001
7535264
oct265651
9151631
1093097
1163a44
1245a61
13334b4
1425cdb
151c8b7
hex16ba9

93097 has 2 divisors, whose sum is σ = 93098. Its totient is φ = 93096.

The previous prime is 93089. The next prime is 93103. The reversal of 93097 is 79039.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 20736 = 269^2 + 144^2 .

It is an emirp because it is prime and its reverse (79039) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93097 - 23 = 93089 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 93097 parts by 431 straight cuts.

It is equal to p8992 and since 93097 and 8992 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (93047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46548 + 46549.

It is an arithmetic number, because the mean of its divisors is an integer number (46549).

293097 is an apocalyptic number.

It is an amenable number.

93097 is a deficient number, since it is larger than the sum of its proper divisors (1).

93097 is an equidigital number, since it uses as much as digits as its factorization.

93097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 28.

The square root of 93097 is about 305.1180099568. The cubic root of 93097 is about 45.3222952268.

It can be divided in two parts, 9309 and 7, that added together give a triangular number (9316 = T136).

The spelling of 93097 in words is "ninety-three thousand, ninety-seven".