77225 has 6 divisors (see below), whose sum is σ = 95790. Its totient is φ = 61760.

The previous prime is 77213. The next prime is 77237. The reversal of 77225 is 52277.

77225 = 196² + 197².

It is an interprime number because it is at equal distance from previous prime (77213) and next prime (77237).

It can be written as a sum of positive squares in 3 ways, for example, as 17689 + 59536 = 133^2 + 244^2 .

It is not a de Polignac number, because 77225 - 2¹⁶ = 11689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77225.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1520 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (15965).

2⁷⁷²²⁵ is an apocalyptic number.

77225 is the 197-th centered square number.

It is an amenable number.

77225 is a deficient number, since it is larger than the sum of its proper divisors (18565).

77225 is a wasteful number, since it uses less digits than its factorization.

77225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3094 counting only the distinct ones).

The product of its digits is 980, while the sum is 23.

The square root of 77225 is about 277.8938646318. The cubic root of 77225 is about 42.5846065449.

Subtracting from 77225 its product of digits (980), we obtain a triangular number (76245 = T₃₉₀).

It can be divided in two parts, 772 and 25, that added together give a palindrome (797).

The spelling of 77225 in words is "seventy-seven thousand, two hundred twenty-five".