792225 has 36 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 361440.

The previous prime is 792223. The next prime is 792227. The reversal of 792225 is 522297.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (792223) and next prime (792227).

It is not a de Polignac number, because 792225 - 2¹ = 792223 is a prime.

It is a d-powerful number, because it can be written as 7³ + 9³ + 2¹² + 2¹⁸ + 2¹⁹ + 5⁴ .

It is not an unprimeable number, because it can be changed into a prime (792223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2⁷⁹²²²⁵ is an apocalyptic number.

792225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

792225 is an abundant number, since it is smaller than the sum of its proper divisors (832671).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

792225 is a wasteful number, since it uses less digits than its factorization.

792225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 792225 is about 890.0702219488. The cubic root of 792225 is about 92.5300608409.

It can be divided in two parts, 79 and 2225, that added together give a square (2304 = 48²).

The spelling of 792225 in words is "seven hundred ninety-two thousand, two hundred twenty-five".