165464 has 32 divisors (see below), whose sum is σ = 351120. Its totient is φ = 72576.

The previous prime is 165463. The next prime is 165469. The reversal of 165464 is 464561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 165464 = 20³ + 54³ = 38³ + 48³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3827 + ... + 3869.

2¹⁶⁵⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175560).

165464 is an abundant number, since it is smaller than the sum of its proper divisors (185656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165464 is a wasteful number, since it uses less digits than its factorization.

165464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 165464 is about 406.7726637816. The cubic root of 165464 is about 54.8994305423.

The spelling of 165464 in words is "one hundred sixty-five thousand, four hundred sixty-four".