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612625 = 5313229
BaseRepresentation
bin10010101100100010001
31011010100211
42111210101
5124101000
621044121
75131036
oct2254421
91133324
10612625
11389302
12256641
13185b00
1411d38d
15c17ba
hex95911

612625 has 24 divisors (see below), whose sum is σ = 856440. Its totient is φ = 436800.

The previous prime is 612613. The next prime is 612637. The reversal of 612625 is 526216.

It is an interprime number because it is at equal distance from previous prime (612613) and next prime (612637).

It can be written as a sum of positive squares in 12 ways, for example, as 589824 + 22801 = 768^2 + 151^2 .

It is not a de Polignac number, because 612625 - 27 = 612497 is a prime.

612625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 612596 and 612605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21111 + ... + 21139.

It is an arithmetic number, because the mean of its divisors is an integer number (35685).

2612625 is an apocalyptic number.

612625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

612625 is a deficient number, since it is larger than the sum of its proper divisors (243815).

612625 is a wasteful number, since it uses less digits than its factorization.

612625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 612625 is about 782.7036476215. The cubic root of 612625 is about 84.9307394275.

The spelling of 612625 in words is "six hundred twelve thousand, six hundred twenty-five".

Divisors: 1 5 13 25 29 65 125 145 169 325 377 725 845 1625 1885 3625 4225 4901 9425 21125 24505 47125 122525 612625