Search a number
-
+
258331973 is a prime number
BaseRepresentation
bin11110110010111…
…01010101000101
3200000002121211212
433121131111011
51012113110343
641344541205
76254533304
oct1731352505
9600077755
10258331973
111229046a9
1272621805
134169bc73
142644843b
1517a2cc18
hexf65d545

258331973 has 2 divisors, whose sum is σ = 258331974. Its totient is φ = 258331972.

The previous prime is 258331937. The next prime is 258331979. The reversal of 258331973 is 379133852.

Together with previous prime (258331937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254498209 + 3833764 = 15953^2 + 1958^2 .

It is a cyclic number.

It is not a de Polignac number, because 258331973 - 210 = 258330949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258331973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258331979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129165986 + 129165987.

It is an arithmetic number, because the mean of its divisors is an integer number (129165987).

Almost surely, 2258331973 is an apocalyptic number.

It is an amenable number.

258331973 is a deficient number, since it is larger than the sum of its proper divisors (1).

258331973 is an equidigital number, since it uses as much as digits as its factorization.

258331973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 136080, while the sum is 41.

The square root of 258331973 is about 16072.7089502672. The cubic root of 258331973 is about 636.8826045236.

The spelling of 258331973 in words is "two hundred fifty-eight million, three hundred thirty-one thousand, nine hundred seventy-three".