165456769 has 9 divisors (see below), whose sum is σ = 174881667. Its totient is φ = 156516984.

The previous prime is 165456761. The next prime is 165456787. The reversal of 165456769 is 967654561.

The square root of 165456769 is 12863.

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

165456769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 164480625 + 976144 = 12825^2 + 988^2 .

It is not a de Polignac number, because 165456769 - 2³ = 165456761 is a prime.

It is a super-2 number, since 2×165456769² = 54751884815838722, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165456761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 244059 + ... + 244735.

Almost surely, 2^165456769 is an apocalyptic number.

165456769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

165456769 is the 12863-rd square number.

165456769 is the 6432-nd centered octagonal number.

It is an amenable number.

165456769 is a deficient number, since it is larger than the sum of its proper divisors (9424898).

165456769 is an frugal number, since it uses more digits than its factorization.

165456769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 696 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The cubic root of 165456769 is about 548.9863080428.

Multiplying 165456769 by its sum of digits (49), we get a square (8107381681 = 90041²).

The spelling of 165456769 in words is "one hundred sixty-five million, four hundred fifty-six thousand, seven hundred sixty-nine".