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93025 = 52612
BaseRepresentation
bin10110101101100001
311201121101
4112231201
510434100
61554401
7535132
oct265541
9151541
1093025
1163989
1245a01
133345a
1425c89
151c86a
hex16b61

93025 has 9 divisors (see below), whose sum is σ = 117273. Its totient is φ = 73200.

The previous prime is 93001. The next prime is 93047. The reversal of 93025 is 52039.

It can be divided in two parts, 9 and 3025, that multiplied together give a square (27225 = 1652).

93025 = T304 + T305.

The square root of 93025 is 305.

It is a perfect power (a square), and thus also a powerful number.

93025 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 50176 = 207^2 + 224^2 .

It is not a de Polignac number, because 93025 - 25 = 92993 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 92993 and 93011.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1495 + ... + 1555.

293025 is an apocalyptic number.

93025 is the 305-th square number.

93025 is the 153-rd centered octagonal number.

It is an amenable number.

93025 is a deficient number, since it is larger than the sum of its proper divisors (24248).

93025 is an equidigital number, since it uses as much as digits as its factorization.

93025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The cubic root of 93025 is about 45.3106083237.

The spelling of 93025 in words is "ninety-three thousand, twenty-five".

Divisors: 1 5 25 61 305 1525 3721 18605 93025