164983224 has 64 divisors (see below), whose sum is σ = 472665600. Its totient is φ = 47009664.

The previous prime is 164983219. The next prime is 164983229. The reversal of 164983224 is 422389461.

164983224 = T₂₂₅₇ + T₂₂₅₈ + ... + T₂₃₁₉.

It is an interprime number because it is at equal distance from previous prime (164983219) and next prime (164983229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164983229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72634 + ... + 74870.

It is an arithmetic number, because the mean of its divisors is an integer number (7385400).

Almost surely, 2^164983224 is an apocalyptic number.

164983224 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 164983224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236332800).

164983224 is an abundant number, since it is smaller than the sum of its proper divisors (307682376).

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

164983224 is a wasteful number, since it uses less digits than its factorization.

164983224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2688 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 164983224 is about 12844.5795571517. The cubic root of 164983224 is about 548.4620661052.

The spelling of 164983224 in words is "one hundred sixty-four million, nine hundred eighty-three thousand, two hundred twenty-four".