363147 has 16 divisors (see below), whose sum is σ = 533760. Its totient is φ = 218592.

The previous prime is 363119. The next prime is 363149. The reversal of 363147 is 741363.

It is not a de Polignac number, because 363147 - 2⁷ = 363019 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363147.

It is not an unprimeable number, because it can be changed into a prime (363149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (33360).

2³⁶³¹⁴⁷ is an apocalyptic number.

363147 is a deficient number, since it is larger than the sum of its proper divisors (170613).

363147 is a wasteful number, since it uses less digits than its factorization.

363147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its digits is 1512, while the sum is 24.

The square root of 363147 is about 602.6167936591. The cubic root of 363147 is about 71.3445528300.

It can be divided in two parts, 363 and 147, that multiplied together give a square (53361 = 231²).

The spelling of 363147 in words is "three hundred sixty-three thousand, one hundred forty-seven".