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58825 = 5213181
BaseRepresentation
bin1110010111001001
32222200201
432113021
53340300
61132201
7333334
oct162711
988621
1058825
1140218
122a061
1320a10
141761b
151266a
hexe5c9

58825 has 12 divisors (see below), whose sum is σ = 78988. Its totient is φ = 43200.

The previous prime is 58789. The next prime is 58831. The reversal of 58825 is 52885.

58825 = 1712 + 1722.

It can be written as a sum of positive squares in 6 ways, for example, as 23104 + 35721 = 152^2 + 189^2 .

It is not a de Polignac number, because 58825 - 29 = 58313 is a prime.

It is an Ulam number.

It is a plaindrome in base 7 and base 15.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 58793 and 58802.

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, 235 + ... + 415.

258825 is an apocalyptic number.

58825 is the 130-th nonagonal number.

58825 is the 172-nd centered square number.

It is an amenable number.

58825 is a deficient number, since it is larger than the sum of its proper divisors (20163).

58825 is a wasteful number, since it uses less digits than its factorization.

58825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

The square root of 58825 is about 242.5386567127. The cubic root of 58825 is about 38.8914359632.

The spelling of 58825 in words is "fifty-eight thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 181 325 905 2353 4525 11765 58825