61765 has 8 divisors (see below), whose sum is σ = 80928. Its totient is φ = 44880.

The previous prime is 61757. The next prime is 61781. The reversal of 61765 is 56716.

61765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 61765 - 2³ = 61757 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

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, 507 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (10116).

2⁶¹⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

61765 is a deficient number, since it is larger than the sum of its proper divisors (19163).

61765 is a wasteful number, since it uses less digits than its factorization.

61765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139.

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

The square root of 61765 is about 248.5256525995. The cubic root of 61765 is about 39.5288471645.

It can be divided in two parts, 61 and 765, that multiplied together give a triangular number (46665 = T₃₀₅).

The spelling of 61765 in words is "sixty-one thousand, seven hundred sixty-five".