273812 has 36 divisors (see below), whose sum is σ = 612864. Its totient is φ = 105840.

The previous prime is 273803. The next prime is 273821. The reversal of 273812 is 218372.

It is an interprime number because it is at equal distance from previous prime (273803) and next prime (273821).

It is a super-2 number, since 2×273812² = 149946022688, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2093 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (17024).

2²⁷³⁸¹² is an apocalyptic number.

273812 is a gapful number since it is divisible by the number (22) 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 273812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306432).

273812 is an abundant number, since it is smaller than the sum of its proper divisors (339052).

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

273812 is a wasteful number, since it uses less digits than its factorization.

273812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 273812 is about 523.2704845489. The cubic root of 273812 is about 64.9357945885.

The spelling of 273812 in words is "two hundred seventy-three thousand, eight hundred twelve".