164293000 has 64 divisors (see below), whose sum is σ = 404726400. Its totient is φ = 62251200.

The previous prime is 164292991. The next prime is 164293009. The reversal of 164293000 is 392461.

It is an interprime number because it is at equal distance from previous prime (164292991) and next prime (164293009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (164293009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14677 + ... + 23323.

It is an arithmetic number, because the mean of its divisors is an integer number (6323850).

Almost surely, 2^164293000 is an apocalyptic number.

164293000 is a gapful number since it is divisible by the number (10) 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 164293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202363200).

164293000 is an abundant number, since it is smaller than the sum of its proper divisors (240433400).

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

164293000 is a wasteful number, since it uses less digits than its factorization.

164293000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 164293000 is about 12817.6830979706. The cubic root of 164293000 is about 547.6961481745.

The spelling of 164293000 in words is "one hundred sixty-four million, two hundred ninety-three thousand".