364545 has 12 divisors (see below), whose sum is σ = 631956. Its totient is φ = 194400.

The previous prime is 364543. The next prime is 364571. The reversal of 364545 is 545463.

It can be written as a sum of positive squares in 2 ways, for example, as 288369 + 76176 = 537^2 + 276^2 .

It is not a de Polignac number, because 364545 - 2¹ = 364543 is a prime.

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 364545.

It is not an unprimeable number, because it can be changed into a prime (364541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4006 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (52663).

It is the magic constant of a 90 × 90 magic square.

It is a Proth number, since it is equal to 89 ⋅ 2¹² + 1 and 89 < 2¹².

2³⁶⁴⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

364545 is a deficient number, since it is larger than the sum of its proper divisors (267411).

364545 is a wasteful number, since it uses less digits than its factorization.

364545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8109 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 364545 is about 603.7756205744. The cubic root of 364545 is about 71.4359868492.

It can be divided in two parts, 3645 and 45, that multiplied together give a square (164025 = 405²).

The spelling of 364545 in words is "three hundred sixty-four thousand, five hundred forty-five".