Search a number
-
+
312553 is a prime number
BaseRepresentation
bin1001100010011101001
3120212202001
41030103221
540000203
610411001
72441143
oct1142351
9525661
10312553
111a390a
12130a61
13ac357
1481c93
156291d
hex4c4e9

312553 has 2 divisors, whose sum is σ = 312554. Its totient is φ = 312552.

The previous prime is 312551. The next prime is 312563. The reversal of 312553 is 355213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310249 + 2304 = 557^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 312553 - 21 = 312551 is a prime.

Together with 312551, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 312553.

It is not a weakly prime, because it can be changed into another prime (312551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156276 + 156277.

It is an arithmetic number, because the mean of its divisors is an integer number (156277).

2312553 is an apocalyptic number.

It is an amenable number.

312553 is a deficient number, since it is larger than the sum of its proper divisors (1).

312553 is an equidigital number, since it uses as much as digits as its factorization.

312553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 450, while the sum is 19.

The square root of 312553 is about 559.0643970063. The cubic root of 312553 is about 67.8642765749.

Adding to 312553 its reverse (355213), we get a palindrome (667766).

The spelling of 312553 in words is "three hundred twelve thousand, five hundred fifty-three".