45953 has 2 divisors, whose sum is σ = 45954. Its totient is φ = 45952.

The previous prime is 45949. The next prime is 45959. The reversal of 45953 is 35954.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 10609 = 188^2 + 103^2 .

45953 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 45953 - 2² = 45949 is a prime.

It is a super-2 number, since 2×45953² = 4223356418, which contains 22 as substring.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45953.

It is not a weakly prime, because it can be changed into another prime (45959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22976 + 22977.

It is an arithmetic number, because the mean of its divisors is an integer number (22977).

2⁴⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

45953 is a deficient number, since it is larger than the sum of its proper divisors (1).

45953 is an equidigital number, since it uses as much as digits as its factorization.

45953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 26.

The square root of 45953 is about 214.3665085782. The cubic root of 45953 is about 35.8182714176.

Subtracting from 45953 its reverse (35954), we obtain a palindrome (9999).

It can be divided in two parts, 459 and 53, that added together give a 9-th power (512 = 2⁹).

The spelling of 45953 in words is "forty-five thousand, nine hundred fifty-three".