364014 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 103032.

The previous prime is 363989. The next prime is 364027. The reversal of 364014 is 410463.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

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 364014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3349 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁶⁴⁰¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

364014 is an abundant number, since it is smaller than the sum of its proper divisors (579474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364014 is a wasteful number, since it uses less digits than its factorization.

364014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 364014 is about 603.3357274354. The cubic root of 364014 is about 71.4012851968.

Adding to 364014 its reverse (410463), we get a palindrome (774477).

The spelling of 364014 in words is "three hundred sixty-four thousand, fourteen".