77725 has 6 divisors (see below), whose sum is σ = 96410. Its totient is φ = 62160.

The previous prime is 77723. The next prime is 77731. The reversal of 77725 is 52777.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 441 + 77284 = 21^2 + 278^2 .

It is not a de Polignac number, because 77725 - 2¹ = 77723 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 77693 and 77702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1530 + ... + 1579.

2⁷⁷⁷²⁵ is an apocalyptic number.

It is an amenable number.

77725 is a deficient number, since it is larger than the sum of its proper divisors (18685).

77725 is a wasteful number, since it uses less digits than its factorization.

77725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3114 counting only the distinct ones).

The product of its digits is 3430, while the sum is 28.

The square root of 77725 is about 278.7920371890. The cubic root of 77725 is about 42.6763148211.

It can be divided in two parts, 7772 and 5, that added together give a palindrome (7777).

The spelling of 77725 in words is "seventy-seven thousand, seven hundred twenty-five".