165954964 has 72 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 68753664.

The previous prime is 165954961. The next prime is 165954989. The reversal of 165954964 is 469459561.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165954961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306669 + ... + 1306795.

It is an arithmetic number, because the mean of its divisors is an integer number (4851840).

Almost surely, 2^165954964 is an apocalyptic number.

165954964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165954964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

165954964 is an abundant number, since it is smaller than the sum of its proper divisors (183377516).

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

165954964 is a wasteful number, since it uses less digits than its factorization.

165954964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The square root of 165954964 is about 12882.3508724146. The cubic root of 165954964 is about 549.5367603574.

The spelling of 165954964 in words is "one hundred sixty-five million, nine hundred fifty-four thousand, nine hundred sixty-four".