45435 has 16 divisors (see below), whose sum is σ = 78624. Its totient is φ = 22272.

The previous prime is 45433. The next prime is 45439. The reversal of 45435 is 53454.

45435 = 7² + 8² + ... + 51².

It is a happy number.

It is not a de Polignac number, because 45435 - 2¹ = 45433 is a prime.

45435 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (45433) 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, 79 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁴⁵⁴³⁵ is an apocalyptic number.

45435 is a deficient number, since it is larger than the sum of its proper divisors (33189).

45435 is a wasteful number, since it uses less digits than its factorization.

45435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its digits is 1200, while the sum is 21.

The square root of 45435 is about 213.1548732729. The cubic root of 45435 is about 35.6831767198.

Adding to 45435 its reverse (53454), we get a palindrome (98889).

The spelling of 45435 in words is "forty-five thousand, four hundred thirty-five".