363629 has 12 divisors (see below), whose sum is σ = 435708. Its totient is φ = 302400.

The previous prime is 363619. The next prime is 363659. The reversal of 363629 is 926363.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 354025 = 98^2 + 595^2 .

It is not a de Polignac number, because 363629 - 2⁸ = 363373 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁷ + 6 + 6⁶ + 3¹¹ + 2¹⁷ + 9⁴ .

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 363629.

It is not an unprimeable number, because it can be changed into a prime (363619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1919 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2³⁶³⁶²⁹ is an apocalyptic number.

It is an amenable number.

363629 is a deficient number, since it is larger than the sum of its proper divisors (72079).

363629 is a wasteful number, since it uses less digits than its factorization.

363629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

The square root of 363629 is about 603.0165835199. The cubic root of 363629 is about 71.3761037552.

The spelling of 363629 in words is "three hundred sixty-three thousand, six hundred twenty-nine".