632565 has 12 divisors (see below), whose sum is σ = 1096524. Its totient is φ = 337344.

The previous prime is 632561. The next prime is 632591. The reversal of 632565 is 565236.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 531441 = 318^2 + 729^2 .

It is not a de Polignac number, because 632565 - 2² = 632561 is a prime.

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

632565 is a lucky number.

It is a nialpdrome in base 15.

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 632565.

It is not an unprimeable number, because it can be changed into a prime (632561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6984 + ... + 7073.

It is an arithmetic number, because the mean of its divisors is an integer number (91377).

2⁶³²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

632565 is a deficient number, since it is larger than the sum of its proper divisors (463959).

632565 is a wasteful number, since it uses less digits than its factorization.

632565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14068 (or 14065 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 632565 is about 795.3395501294. The cubic root of 632565 is about 85.8423739705.

It can be divided in two parts, 63 and 2565, that added together give a triangular number (2628 = T₇₂).

The spelling of 632565 in words is "six hundred thirty-two thousand, five hundred sixty-five".