164854998 has 96 divisors (see below), whose sum is σ = 449459712. Its totient is φ = 42775920.

The previous prime is 164854969. The next prime is 164855011. The reversal of 164854998 is 899458461.

164854998 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 549 + 98 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167215 + ... + 168197.

It is an arithmetic number, because the mean of its divisors is an integer number (4681872).

Almost surely, 2^164854998 is an apocalyptic number.

164854998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164854998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224729856).

164854998 is an abundant number, since it is smaller than the sum of its proper divisors (284604714).

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

164854998 is a wasteful number, since it uses less digits than its factorization.

164854998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1006 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 164854998 is about 12839.5871428952. The cubic root of 164854998 is about 548.3199398886.

The spelling of 164854998 in words is "one hundred sixty-four million, eight hundred fifty-four thousand, nine hundred ninety-eight".