996601761 has 27 divisors (see below), whose sum is σ = 1531669971. Its totient is φ = 624308544.

The previous prime is 996601759. The next prime is 996601787. The reversal of 996601761 is 167106699.

The square root of 996601761 is 31569.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 775901025 + 220700736 = 27855^2 + 14856^2 .

It is not a de Polignac number, because 996601761 - 2¹ = 996601759 is a prime.

It is a super-2 number, since 2×996601761² = 1986430140056602242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (996601561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1609710 + ... + 1610328.

Almost surely, 2^996601761 is an apocalyptic number.

996601761 is the 31569-th square number.

996601761 is the 15785-th centered octagonal number.

It is an amenable number.

996601761 is a deficient number, since it is larger than the sum of its proper divisors (535068210).

996601761 is an equidigital number, since it uses as much as digits as its factorization.

996601761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The cubic root of 996601761 is about 998.8659681245.

The spelling of 996601761 in words is "nine hundred ninety-six million, six hundred one thousand, seven hundred sixty-one".