165461331 has 32 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 92880000.

The previous prime is 165461321. The next prime is 165461381. The reversal of 165461331 is 133164561.

It is not a de Polignac number, because 165461331 - 2⁷ = 165461203 is a prime.

It is a super-2 number, since 2×165461331² = 54754904112583122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (165461321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383686 + ... + 384116.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648).

Almost surely, 2^165461331 is an apocalyptic number.

165461331 is a deficient number, since it is larger than the sum of its proper divisors (91167405).

165461331 is a wasteful number, since it uses less digits than its factorization.

165461331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

The product of its digits is 6480, while the sum is 30.

The square root of 165461331 is about 12863.1773291050. The cubic root of 165461331 is about 548.9913535753.

The spelling of 165461331 in words is "one hundred sixty-five million, four hundred sixty-one thousand, three hundred thirty-one".