363069 has 32 divisors (see below), whose sum is σ = 656640. Its totient is φ = 193536.

The previous prime is 363067. The next prime is 363119. The reversal of 363069 is 960363.

It is not a de Polignac number, because 363069 - 2¹ = 363067 is a prime.

It is a super-2 number, since 2×363069² = 263638197522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363069.

It is not an unprimeable number, because it can be changed into a prime (363061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3157 + ... + 3269.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2³⁶³⁰⁶⁹ is an apocalyptic number.

It is an amenable number.

363069 is a deficient number, since it is larger than the sum of its proper divisors (293571).

363069 is a wasteful number, since it uses less digits than its factorization.

363069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 363069 is about 602.5520724386. The cubic root of 363069 is about 71.3394444547.

It can be divided in two parts, 36306 and 9, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 363069 in words is "three hundred sixty-three thousand, sixty-nine".