369801 has 12 divisors (see below), whose sum is σ = 565812. Its totient is φ = 231936.

The previous prime is 369793. The next prime is 369821. The reversal of 369801 is 108963.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 38025 = 576^2 + 195^2 .

It is not a de Polignac number, because 369801 - 2³ = 369793 is a prime.

It is a Curzon number.

369801 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369801.

It is not an unprimeable number, because it can be changed into a prime (369821) 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, 1056 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (47151).

2³⁶⁹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

369801 is a deficient number, since it is larger than the sum of its proper divisors (196011).

369801 is a wasteful number, since it uses less digits than its factorization.

369801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 369801 is about 608.1126540371. The cubic root of 369801 is about 71.7776706557. Note that the first 3 decimals are identical.

It can be divided in two parts, 36 and 9801, that multiplied together give a square (352836 = 594²).

The spelling of 369801 in words is "three hundred sixty-nine thousand, eight hundred one".