Search a number
-
+
314057657 is a prime number
BaseRepresentation
bin10010101110000…
…010001110111001
3210212221210010002
4102232002032321
51120344321112
651055202345
710532305664
oct2256021671
9725853102
10314057657
11151306191
12892163b5
13500b0544
142d9d26db
151c8891c2
hex12b823b9

314057657 has 2 divisors, whose sum is σ = 314057658. Its totient is φ = 314057656.

The previous prime is 314057587. The next prime is 314057719. The reversal of 314057657 is 756750413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175854121 + 138203536 = 13261^2 + 11756^2 .

It is a cyclic number.

It is not a de Polignac number, because 314057657 - 212 = 314053561 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314057657.

It is not a weakly prime, because it can be changed into another prime (314057257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157028828 + 157028829.

It is an arithmetic number, because the mean of its divisors is an integer number (157028829).

Almost surely, 2314057657 is an apocalyptic number.

It is an amenable number.

314057657 is a deficient number, since it is larger than the sum of its proper divisors (1).

314057657 is an equidigital number, since it uses as much as digits as its factorization.

314057657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 314057657 is about 17721.6719583678. The cubic root of 314057657 is about 679.7300377345.

The spelling of 314057657 in words is "three hundred fourteen million, fifty-seven thousand, six hundred fifty-seven".