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78325 = 5213241
BaseRepresentation
bin10011000111110101
310222102221
4103013311
510001300
61402341
7444232
oct230765
9128387
1078325
1153935
12393b1
1329860
1420789
151831a
hex131f5

78325 has 12 divisors (see below), whose sum is σ = 105028. Its totient is φ = 57600.

The previous prime is 78317. The next prime is 78341. The reversal of 78325 is 52387.

78325 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 6 ways, for example, as 3249 + 75076 = 57^2 + 274^2 .

It is not a de Polignac number, because 78325 - 23 = 78317 is a prime.

It is a super-2 number, since 2×783252 = 12269611250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

78325 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 78325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 445.

278325 is an apocalyptic number.

It is an amenable number.

78325 is a deficient number, since it is larger than the sum of its proper divisors (26703).

78325 is a wasteful number, since it uses less digits than its factorization.

78325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 78325 is about 279.8660393831. The cubic root of 78325 is about 42.7858470688.

It can be divided in two parts, 783 and 25, that added together give a palindrome (808).

The spelling of 78325 in words is "seventy-eight thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 241 325 1205 3133 6025 15665 78325