369633 has 16 divisors (see below), whose sum is σ = 562176. Its totient is φ = 213840.

The previous prime is 369581. The next prime is 369637. The reversal of 369633 is 336963.

It is not a de Polignac number, because 369633 - 2¹⁰ = 368609 is a prime.

369633 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 369633.

It is not an unprimeable number, because it can be changed into a prime (369637) 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, 516 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (35136).

2³⁶⁹⁶³³ is an apocalyptic number.

369633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

369633 is a deficient number, since it is larger than the sum of its proper divisors (192543).

369633 is a wasteful number, since it uses less digits than its factorization.

369633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524.

The product of its digits is 8748, while the sum is 30.

The square root of 369633 is about 607.9745060445. The cubic root of 369633 is about 71.7667995158.

It can be divided in two parts, 36963 and 3, that multiplied together give a square (110889 = 333²).

The spelling of 369633 in words is "three hundred sixty-nine thousand, six hundred thirty-three".