45709 has 4 divisors (see below), whose sum is σ = 46816. Its totient is φ = 44604.

The previous prime is 45707. The next prime is 45737. The reversal of 45709 is 90754.

45709 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an emirpimes, since its reverse is a distinct semiprime: 90754 = 2 ⋅45377.

It is a cyclic number.

It is not a de Polignac number, because 45709 - 2¹ = 45707 is a prime.

It is a Duffinian number.

45709 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45707) 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, 489 + ... + 574.

It is an arithmetic number, because the mean of its divisors is an integer number (11704).

2⁴⁵⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

45709 is a deficient number, since it is larger than the sum of its proper divisors (1107).

45709 is a wasteful number, since it uses less digits than its factorization.

45709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 45709 is about 213.7966323402. The cubic root of 45709 is about 35.7547632495.

The spelling of 45709 in words is "forty-five thousand, seven hundred nine".