214948 has 24 divisors (see below), whose sum is σ = 415800. Its totient is φ = 96768.

The previous prime is 214943. The next prime is 214967. The reversal of 214948 is 849412.

214948 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 135424 = 282^2 + 368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1918 + ... + 2026.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2²¹⁴⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

214948 is a deficient number, since it is larger than the sum of its proper divisors (200852).

214948 is a wasteful number, since it uses less digits than its factorization.

214948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 214948 is about 463.6248483418. The cubic root of 214948 is about 59.9024340266.

It can be divided in two parts, 2149 and 48, that added together give a cube (2197 = 13³).

The spelling of 214948 in words is "two hundred fourteen thousand, nine hundred forty-eight".