115625 has 12 divisors (see below), whose sum is σ = 148428. Its totient is φ = 90000.

The previous prime is 115613. The next prime is 115631. The reversal of 115625 is 526511.

It can be divided in two parts, 1156 and 25, that multiplied together give a square (28900 = 170^{2}).

It can be written as a sum of positive squares in 6 ways, for example, as 72361 + 43264 = 269^2 + 208^2 .

It is not a de Polignac number, because 115625 - 2^{6} = 115561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 115597 and 115606.

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, 3107 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

115625 is a Friedman number, since it can be written as 5^5*(6^2+1*1), using all its digits and the basic arithmetic operations.

2^{115625} is an apocalyptic number.

It is an amenable number.

115625 is a deficient number, since it is larger than the sum of its proper divisors (32803).

115625 is an frugal number, since it uses more digits than its factorization.

115625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 115625 is about 340.0367627184. The cubic root of 115625 is about 48.7173790094.

The spelling of 115625 in words is "one hundred fifteen thousand, six hundred twenty-five".

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