925 has 6 divisors (see below), whose sum is σ = 1178. Its totient is φ = 720.

The previous prime is 919. The next prime is 929. The reversal of 925 is 529.

Subtracting from 925 its sum of digits (16), we obtain a palindrome (909).

It can be divided in two parts, 9 and 25, that multiplied together give a square (225 = 15^{2}).

It can be written as a sum of positive squares in 3 ways, for example, as 196 + 729 = 14^2 + 27^2 .

It is a sliding number, since 925 = 125 + 800 and 1/125 + 1/800 = 0.00925.

It is not a de Polignac number, because 925 - 2^{7} = 797 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

925 is an undulating number in base 6.

925 is a lucky number.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 11 and base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 899 and 908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7 + ... + 43.

2^{925} is an apocalyptic number.

925 is the 25-th pentagonal number.

925 is the 22-nd centered square number.

It is an amenable number.

925 is a deficient number, since it is larger than the sum of its proper divisors (253).

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

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

The sum of its prime factors is 47 (or 42 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 925 is about 30.4138126515. The cubic root of 925 is about 9.7434758019.

The spelling of 925 in words is "nine hundred twenty-five", and thus it is an aban number and an oban number.

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