363953 has 8 divisors (see below), whose sum is σ = 391680. Its totient is φ = 336960.

The previous prime is 363949. The next prime is 363959. The reversal of 363953 is 359363.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 363953 - 2² = 363949 is a prime.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (363959) 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, 1208 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (48960).

2³⁶³⁹⁵³ is an apocalyptic number.

It is an amenable number.

363953 is a deficient number, since it is larger than the sum of its proper divisors (27727).

363953 is a wasteful number, since it uses less digits than its factorization.

363953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367.

The product of its digits is 7290, while the sum is 29.

The square root of 363953 is about 603.2851730318. The cubic root of 363953 is about 71.3972965941.

The spelling of 363953 in words is "three hundred sixty-three thousand, nine hundred fifty-three".