45369 has 9 divisors (see below), whose sum is σ = 66469. Its totient is φ = 29820.

The previous prime is 45361. The next prime is 45377. The reversal of 45369 is 96354.

45369 = T_{212} + T_{213}.

It is a happy number.

The square root of 45369 is 213.

It is a perfect power (a square), and thus also a powerful number.

45369 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45361) and next prime (45377).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 45369 - 2^{3} = 45361 is a prime.

It is a super-2 number, since 2×45369^{2} = 4116692322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 604 + ... + 674.

45369 is a Friedman number, since it can be written as 9+35*6^4, using all its digits and the basic arithmetic operations.

2^{45369} is an apocalyptic number.

45369 is the 213-rd square number.

45369 is the 107-th centered octagonal number.

It is an amenable number.

45369 is a deficient number, since it is larger than the sum of its proper divisors (21100).

45369 is an equidigital number, since it uses as much as digits as its factorization.

45369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The cubic root of 45369 is about 35.6658902598.

It can be divided in two parts, 45 and 369, that added together give a palindrome (414).

The spelling of 45369 in words is "forty-five thousand, three hundred sixty-nine".

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