275904 has 42 divisors (see below), whose sum is σ = 792480. Its totient is φ = 91776.

The previous prime is 275897. The next prime is 275911. The reversal of 275904 is 409572.

275904 = T₅₉ + T₆₀ + ... + T₁₂₂.

It is an interprime number because it is at equal distance from previous prime (275897) and next prime (275911).

It is a super-2 number, since 2×275904² = 152246034432, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 337 + ... + 815.

2²⁷⁵⁹⁰⁴ is an apocalyptic number.

275904 is a gapful number since it is divisible by the number (24) 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 275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396240).

275904 is an abundant number, since it is smaller than the sum of its proper divisors (516576).

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

275904 is a wasteful number, since it uses less digits than its factorization.

275904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 275904 is about 525.2656470777. The cubic root of 275904 is about 65.1007510514.

The spelling of 275904 in words is "two hundred seventy-five thousand, nine hundred four".