853948 has 18 divisors (see below), whose sum is σ = 1543808. Its totient is φ = 413280.

The previous prime is 853933. The next prime is 853949. The reversal of 853948 is 849358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853949) by changing a digit.

853948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6661 + ... + 6787.

2⁸⁵³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

853948 is a deficient number, since it is larger than the sum of its proper divisors (689860).

853948 is a wasteful number, since it uses less digits than its factorization.

853948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 170 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 853948 is about 924.0930689059. The cubic root of 853948 is about 94.8732566512.

It can be divided in two parts, 8 and 53948, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 853948 in words is "eight hundred fifty-three thousand, nine hundred forty-eight".