363727 has 12 divisors (see below), whose sum is σ = 456456. Its totient is φ = 287280.

The previous prime is 363719. The next prime is 363731. The reversal of 363727 is 727363.

It is not a de Polignac number, because 363727 - 2³ = 363719 is a prime.

It is a super-3 number, since 3×363727³ = 144360333423964749, which contains 333 as substring.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 363695 and 363704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363757) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 352 + ... + 922.

It is an arithmetic number, because the mean of its divisors is an integer number (38038).

2³⁶³⁷²⁷ is an apocalyptic number.

363727 is a deficient number, since it is larger than the sum of its proper divisors (92729).

363727 is a wasteful number, since it uses less digits than its factorization.

363727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

The product of its digits is 5292, while the sum is 28.

The square root of 363727 is about 603.0978361759. The cubic root of 363727 is about 71.3825152624.

It can be divided in two parts, 363 and 727, that multiplied together give a triangular number (263901 = T₇₂₆).

The spelling of 363727 in words is "three hundred sixty-three thousand, seven hundred twenty-seven".