164965248 has 160 divisors (see below), whose sum is σ = 561314160. Its totient is φ = 47112192.

The previous prime is 164965247. The next prime is 164965249. The reversal of 164965248 is 842569461.

It is an interprime number because it is at equal distance from previous prime (164965247) and next prime (164965249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164965247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71440 + ... + 73712.

Almost surely, 2^164965248 is an apocalyptic number.

164965248 is a gapful number since it is divisible by the number (18) 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 164965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280657080).

164965248 is an abundant number, since it is smaller than the sum of its proper divisors (396348912).

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

164965248 is an equidigital number, since it uses as much as digits as its factorization.

164965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2285 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 164965248 is about 12843.8797876654. The cubic root of 164965248 is about 548.4421458734.

The spelling of 164965248 in words is "one hundred sixty-four million, nine hundred sixty-five thousand, two hundred forty-eight".