164590369 has 24 divisors (see below), whose sum is σ = 185879232. Its totient is φ = 145363680.

The previous prime is 164590351. The next prime is 164590403. The reversal of 164590369 is 963095461.

It is not a de Polignac number, because 164590369 - 2⁵ = 164590337 is a prime.

It is a super-2 number, since 2×164590369² = 54179979135112322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164590669) 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, 356799 + ... + 357259.

It is an arithmetic number, because the mean of its divisors is an integer number (7744968).

Almost surely, 2^164590369 is an apocalyptic number.

164590369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

164590369 is a deficient number, since it is larger than the sum of its proper divisors (21288863).

164590369 is a wasteful number, since it uses less digits than its factorization.

164590369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 164590369 is about 12829.2778050832. The cubic root of 164590369 is about 548.0263908739.

The spelling of 164590369 in words is "one hundred sixty-four million, five hundred ninety thousand, three hundred sixty-nine".