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BaseRepresentation
bin10110001000000001
311121022111
4112020001
510400000
61535321
7525133
oct261001
9147274
1090625
11620a7
1244541
1332332
1425053
151bcba
hex16201

90625 has 12 divisors (see below), whose sum is σ = 117180. Its totient is φ = 70000.

The previous prime is 90619. The next prime is 90631. The reversal of 90625 is 52609.

It is an interprime number because it is at equal distance from previous prime (90619) and next prime (90631).

It can be written as a sum of positive squares in 6 ways, for example, as 73984 + 16641 = 272^2 + 129^2 .

It is an automorphic number since its square, 8212890625, ends in 90625.

It is a trimorphic number since its cube, 744293212890625, ends in 90625.

It is not a de Polignac number, because 90625 - 23 = 90617 is a prime.

90625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 90596 and 90605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3111 + ... + 3139.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

It is a Proth number, since it is equal to 177 ⋅ 29 + 1 and 177 < 29.

290625 is an apocalyptic number.

It is an amenable number.

90625 is a deficient number, since it is larger than the sum of its proper divisors (26555).

90625 is an frugal number, since it uses more digits than its factorization.

90625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 90625 is about 301.0398644698. The cubic root of 90625 is about 44.9175444786.

The spelling of 90625 in words is "ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 29 125 145 625 725 3125 3625 18125 90625