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83760125 = 53897529
BaseRepresentation
bin1001111111000…
…01001111111101
312211121110021212
410333201033331
5132420311000
612151134205
72034643421
oct477411775
9184543255
1083760125
114330a249
1224074365
1314478a07
14b1a4b81
157547c35
hex4fe13fd

83760125 has 16 divisors (see below), whose sum is σ = 105721200. Its totient is φ = 66246400.

The previous prime is 83760121. The next prime is 83760133. The reversal of 83760125 is 52106738.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47927929 + 35832196 = 6923^2 + 5986^2 .

It is not a de Polignac number, because 83760125 - 22 = 83760121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83760091 and 83760100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83760121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7361 + ... + 14889.

It is an arithmetic number, because the mean of its divisors is an integer number (6607575).

Almost surely, 283760125 is an apocalyptic number.

It is an amenable number.

83760125 is a deficient number, since it is larger than the sum of its proper divisors (21961075).

83760125 is an equidigital number, since it uses as much as digits as its factorization.

83760125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 83760125 is about 9152.0557799874. The cubic root of 83760125 is about 437.5346367135.

The spelling of 83760125 in words is "eighty-three million, seven hundred sixty thousand, one hundred twenty-five".

Divisors: 1 5 25 89 125 445 2225 7529 11125 37645 188225 670081 941125 3350405 16752025 83760125