45495 has 16 divisors (see below), whose sum is σ = 81120. Its totient is φ = 24192.

The previous prime is 45491. The next prime is 45497. The reversal of 45495 is 59454.

It is not a de Polignac number, because 45495 - 2² = 45491 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45491) 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, 34 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (5070).

2⁴⁵⁴⁹⁵ is an apocalyptic number.

45495 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45495 is a deficient number, since it is larger than the sum of its proper divisors (35625).

45495 is a wasteful number, since it uses less digits than its factorization.

45495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45495 is about 213.2955695742. The cubic root of 45495 is about 35.6988771626.

It can be divided in two parts, 4549 and 5, that added together give a palindrome (4554).

The spelling of 45495 in words is "forty-five thousand, four hundred ninety-five".