61745 has 8 divisors (see below), whose sum is σ = 75816. Its totient is φ = 48256.

The previous prime is 61729. The next prime is 61751. The reversal of 61745 is 54716.

61745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 57121 = 68^2 + 239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61745 - 2⁴ = 61729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61745.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (9477).

2⁶¹⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

61745 is a deficient number, since it is larger than the sum of its proper divisors (14071).

61745 is a wasteful number, since it uses less digits than its factorization.

61745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291.

The product of its digits is 840, while the sum is 23.

The square root of 61745 is about 248.4854120467. The cubic root of 61745 is about 39.5245801185.

The spelling of 61745 in words is "sixty-one thousand, seven hundred forty-five".