10625 has 10 divisors (see below), whose sum is σ = 14058. Its totient is φ = 8000.

The previous prime is 10613. The next prime is 10627. The reversal of 10625 is 52601.

It can be divided in two parts, 106 and 25, that added together give a palindrome (131).

10625 = T_{6} + T_{7} + ... +
T_{39}.

It can be written as a sum of positive squares in 5 ways, for example, as 2704 + 7921 = 52^2 + 89^2 .

It is not a de Polignac number, because 10625 - 2^{8} = 10369 is a prime.

It is a super-2 number, since 2×10625^{2} = 225781250, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (10627) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 617 + ... + 633.

It is a Proth number, since it is equal to 83 ⋅ 2^{7} + 1 and 83 < 2^{7}.

2^{10625} is an apocalyptic number.

It is an amenable number.

10625 is a deficient number, since it is larger than the sum of its proper divisors (3433).

10625 is an frugal number, since it uses more digits than its factorization.

10625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10625 is about 103.0776406404. The cubic root of 10625 is about 21.9841483608.

The spelling of 10625 in words is "ten thousand, six hundred twenty-five".

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