632825 has 12 divisors (see below), whose sum is σ = 831420. Its totient is φ = 476160.

The previous prime is 632813. The next prime is 632839. The reversal of 632825 is 528236.

It can be written as a sum of positive squares in 6 ways, for example, as 13456 + 619369 = 116^2 + 787^2 .

It is a de Polignac number, because none of the positive numbers 2^k-632825 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 632794 and 632803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 632825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (69285).

2⁶³²⁸²⁵ is an apocalyptic number.

It is an amenable number.

632825 is a deficient number, since it is larger than the sum of its proper divisors (198595).

632825 is a wasteful number, since it uses less digits than its factorization.

632825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1511 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 632825 is about 795.5029855381. The cubic root of 632825 is about 85.8541334788.

It can be divided in two parts, 63282 and 5, that multiplied together give a triangular number (316410 = T₇₉₅).

The spelling of 632825 in words is "six hundred thirty-two thousand, eight hundred twenty-five".