996567 has 32 divisors (see below), whose sum is σ = 1645056. Its totient is φ = 528000.

The previous prime is 996563. The next prime is 996571. The reversal of 996567 is 765699.

It is an interprime number because it is at equal distance from previous prime (996563) and next prime (996571).

It is not a de Polignac number, because 996567 - 2² = 996563 is a prime.

996567 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9817 + ... + 9917.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2⁹⁹⁶⁵⁶⁷ is an apocalyptic number.

996567 is a deficient number, since it is larger than the sum of its proper divisors (648489).

996567 is a wasteful number, since it uses less digits than its factorization.

996567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its digits is 102060, while the sum is 42.

The square root of 996567 is about 998.2820242797. The cubic root of 996567 is about 99.8854354665.

Multiplying 996567 by its sum of digits (42), we get a palindrome (41855814).

It can be divided in two parts, 99 and 6567, that added together give a palindrome (6666).

The spelling of 996567 in words is "nine hundred ninety-six thousand, five hundred sixty-seven".