363948 has 24 divisors (see below), whose sum is σ = 914928. Its totient is φ = 111936.

The previous prime is 363947. The next prime is 363949. The reversal of 363948 is 849363.

It is an interprime number because it is at equal distance from previous prime (363947) and next prime (363949).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363948.

It is not an unprimeable number, because it can be changed into a prime (363941) 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, 1011 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (38122).

2³⁶³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

363948 is an abundant number, since it is smaller than the sum of its proper divisors (550980).

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

363948 is a wasteful number, since it uses less digits than its factorization.

363948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 363948 is about 603.2810290404. The cubic root of 363948 is about 71.3969696397.

It can be divided in two parts, 3 and 63948, that multiplied together give a square (191844 = 438²).

The spelling of 363948 in words is "three hundred sixty-three thousand, nine hundred forty-eight".