Search a number
-
+
57373 is a prime number
BaseRepresentation
bin1110000000011101
32220200221
432000131
53313443
61121341
7326161
oct160035
986627
1057373
113a118
1229251
1320164
1416ca1
1511eed
hexe01d

57373 has 2 divisors, whose sum is σ = 57374. Its totient is φ = 57372.

The previous prime is 57367. The next prime is 57383. The reversal of 57373 is 37375.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 729 = 238^2 + 27^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57373 is a prime.

It is a super-2 number, since 2×573732 = 6583322258, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57383) 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, 28686 + 28687.

It is an arithmetic number, because the mean of its divisors is an integer number (28687).

257373 is an apocalyptic number.

It is an amenable number.

57373 is a deficient number, since it is larger than the sum of its proper divisors (1).

57373 is an equidigital number, since it uses as much as digits as its factorization.

57373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2205, while the sum is 25.

The square root of 57373 is about 239.5266164751. The cubic root of 57373 is about 38.5687757010.

It can be divided in two parts, 573 and 73, that added together give a palindrome (646).

The spelling of 57373 in words is "fifty-seven thousand, three hundred seventy-three".