164927924 has 36 divisors (see below), whose sum is σ = 337673700. Its totient is φ = 70277760.

The previous prime is 164927921. The next prime is 164927933. The reversal of 164927924 is 429729461.

164927924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79032100 + 85895824 = 8890^2 + 9268^2 .

It is a super-2 number, since 2×164927924² = 54402440229899552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164927921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33152 + ... + 37800.

It is an arithmetic number, because the mean of its divisors is an integer number (9379825).

Almost surely, 2^164927924 is an apocalyptic number.

164927924 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 164927924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168836850).

164927924 is an abundant number, since it is smaller than the sum of its proper divisors (172745776).

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

164927924 is a wasteful number, since it uses less digits than its factorization.

164927924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4839 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 164927924 is about 12842.4267177197. The cubic root of 164927924 is about 548.4007803961.

The spelling of 164927924 in words is "one hundred sixty-four million, nine hundred twenty-seven thousand, nine hundred twenty-four".