Search a number
-
+
36497 is a prime number
BaseRepresentation
bin1000111010010001
31212001202
420322101
52131442
6440545
7211256
oct107221
955052
1036497
112546a
1219155
13137c6
14d42d
15ac32
hex8e91

36497 has 2 divisors, whose sum is σ = 36498. Its totient is φ = 36496.

The previous prime is 36493. The next prime is 36523. The reversal of 36497 is 79463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36481 + 16 = 191^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 36497 - 22 = 36493 is a prime.

It is a d-powerful number, because it can be written as 39 + 6 + 47 + 92 + 73 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36497.

It is not a weakly prime, because it can be changed into another prime (36493) 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 as a sum of consecutive naturals, namely, 18248 + 18249.

It is an arithmetic number, because the mean of its divisors is an integer number (18249).

236497 is an apocalyptic number.

It is an amenable number.

36497 is a deficient number, since it is larger than the sum of its proper divisors (1).

36497 is an equidigital number, since it uses as much as digits as its factorization.

36497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The square root of 36497 is about 191.0418802253. The cubic root of 36497 is about 33.1705283529.

It can be divided in two parts, 3 and 6497, that multiplied together give a palindrome (19491).

The spelling of 36497 in words is "thirty-six thousand, four hundred ninety-seven".