45629 has 4 divisors (see below), whose sum is σ = 46176. Its totient is φ = 45084.

The previous prime is 45613. The next prime is 45631. The reversal of 45629 is 92654.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92654 = 2 ⋅46327.

It is a cyclic number.

It is not a de Polignac number, because 45629 - 2⁴ = 45613 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 45598 and 45607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45659) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (11544).

2⁴⁵⁶²⁹ is an apocalyptic number.

It is an amenable number.

45629 is a deficient number, since it is larger than the sum of its proper divisors (547).

45629 is a wasteful number, since it uses less digits than its factorization.

45629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546.

The product of its digits is 2160, while the sum is 26.

The square root of 45629 is about 213.6094567195. The cubic root of 45629 is about 35.7338917112.

The spelling of 45629 in words is "forty-five thousand, six hundred twenty-nine".