363951 has 24 divisors (see below), whose sum is σ = 617760. Its totient is φ = 202176.

The previous prime is 363949. The next prime is 363959. The reversal of 363951 is 159363.

It is not a de Polignac number, because 363951 - 2¹ = 363949 is a prime.

363951 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3285 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2³⁶³⁹⁵¹ is an apocalyptic number.

363951 is a deficient number, since it is larger than the sum of its proper divisors (253809).

363951 is a wasteful number, since it uses less digits than its factorization.

363951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 363951 is about 603.2835154386. The cubic root of 363951 is about 71.3971658127.

The spelling of 363951 in words is "three hundred sixty-three thousand, nine hundred fifty-one".