273213000 has 160 divisors (see below), whose sum is σ = 955314360. Its totient is φ = 72835200.

The previous prime is 273212999. The next prime is 273213007. The reversal of 273213000 is 312372.

It can be written as a sum of positive squares in 4 ways, for example, as 171243396 + 101969604 = 13086^2 + 10098^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (273213007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79314 + ... + 82686.

Almost surely, 2^273213000 is an apocalyptic number.

273213000 is a gapful number since it is divisible by the number (20) 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 273213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477657180).

273213000 is an abundant number, since it is smaller than the sum of its proper divisors (682101360).

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

273213000 is a wasteful number, since it uses less digits than its factorization.

273213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 273213000 is about 16529.1560583110. The cubic root of 273213000 is about 648.8840813447.

Adding to 273213000 its reverse (312372), we get a palindrome (273525372).

The spelling of 273213000 in words is "two hundred seventy-three million, two hundred thirteen thousand".