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314825 = 5272257
BaseRepresentation
bin1001100110111001001
3120222212012
41030313021
540033300
610425305
72450600
oct1146711
9528765
10314825
111a5595
12132235
13b03b4
1482a37
1563435
hex4cdc9

314825 has 18 divisors (see below), whose sum is σ = 455886. Its totient is φ = 215040.

The previous prime is 314813. The next prime is 314827. The reversal of 314825 is 528413.

314825 = T26 + T27 + ... + T123.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 219961 = 308^2 + 469^2 .

It is not a de Polignac number, because 314825 - 26 = 314761 is a prime.

It is a super-2 number, since 2×3148252 = 198229561250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314827) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1097 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (25327).

2314825 is an apocalyptic number.

314825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314825 is a deficient number, since it is larger than the sum of its proper divisors (141061).

314825 is a wasteful number, since it uses less digits than its factorization.

314825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 314825 is about 561.0926839658. The cubic root of 314825 is about 68.0283186549.

The spelling of 314825 in words is "three hundred fourteen thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 257 1225 1285 1799 6425 8995 12593 44975 62965 314825